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ring - Wikidata
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<span class="wikibase-title-label">ring</span> <span class="wikibase-title-id">(Q161172)</span> </span></h1> <div id="bodyContent" class="vector-body"> <div id="siteSub" class="noprint">From Wikidata</div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="contentSub2"></div> <div id="jump-to-nav"></div> <a class="mw-jump-link" href="#mw-head">Jump to navigation</a> <a class="mw-jump-link" href="#searchInput">Jump to search</a> <div id="mw-content-text" class="mw-body-content mw-content-ltr" lang="en" dir="ltr"><div id="wb-item-Q161172" class="wikibase-entityview wb-item" lang="en" dir="ltr"> <div class="wikibase-entityview-main"><div class="wikibase-entitytermsview"> <div class="wikibase-entitytermsview-heading"> <div class="wikibase-entitytermsview-heading-description ">algebraic structure in mathematics, not necessarily with multiplicative identity</div><div class="wikibase-entitytermsview-heading-aliases "><ul class="wikibase-entitytermsview-aliases"><li class="wikibase-entitytermsview-aliases-alias" data-aliases-separator="|">ring possibly without identity</li></ul></div> </div> <span class="wikibase-toolbar-container"><span class="wikibase-toolbar-item wikibase-toolbar "><span class="wikibase-toolbar-item wikibase-toolbar-button wikibase-toolbar-button-edit"><a href="/web/20230224222030/https://www.wikidata.org/wiki/Special:SetLabelDescriptionAliases/Q161172/en" title=""><span class="wb-icon"></span>edit</a></span></span></span> <div class="wikibase-entitytermsview-entitytermsforlanguagelistview "><table class="wikibase-entitytermsforlanguagelistview"> <thead class="wikibase-entitytermsforlanguagelistview-header"> <tr class="wikibase-entitytermsforlanguagelistview-header-row"> <th scope="col" class="wikibase-entitytermsforlanguagelistview-cell wikibase-entitytermsforlanguagelistview-language">Language</th> <th scope="col" class="wikibase-entitytermsforlanguagelistview-cell wikibase-entitytermsforlanguagelistview-label">Label</th> <th scope="col" class="wikibase-entitytermsforlanguagelistview-cell wikibase-entitytermsforlanguagelistview-description">Description</th> <th scope="col" class="wikibase-entitytermsforlanguagelistview-cell wikibase-entitytermsforlanguagelistview-aliases">Also known as</th> </tr> </thead> <tbody class="wikibase-entitytermsforlanguagelistview-listview"><tr class="wikibase-entitytermsforlanguageview wikibase-entitytermsforlanguageview-en"> <th class="wikibase-entitytermsforlanguageview-language">English</th> <td class="wikibase-entitytermsforlanguageview-label"><div class="wikibase-labelview " dir="ltr" lang="en"><div class="wikibase-labelview-container"><span class="wikibase-labelview-text">ring</span></div></div></td> <td class="wikibase-entitytermsforlanguageview-description"><div class="wikibase-descriptionview " dir="ltr" lang="en"><div class="wikibase-descriptionview-container"><span class="wikibase-descriptionview-text">algebraic structure in mathematics, not necessarily with multiplicative identity</span></div></div></td> <td class="wikibase-entitytermsforlanguageview-aliases"><div class="wikibase-aliasesview "> <ul class="wikibase-aliasesview-list" dir="ltr" lang="en"><li class="wikibase-aliasesview-list-item">ring possibly without identity</li></ul> </div></td> </tr></tbody> </table></div> </div><div id="toc"></div><h2 class="wb-section-heading section-heading wikibase-statements" dir="auto" id="claims">Statements</h2><div class="wikibase-statementgrouplistview"><div class="wikibase-listview"><div class="wikibase-statementgroupview" id="P279" data-property-id="P279"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P279" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P279">subclass of</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="q161172$a3cc6227-4145-023f-c3b9-799eadc2c44d" class="wikibase-statementview wikibase-statement-q161172$a3cc6227-4145-023f-c3b9-799eadc2c44d wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-1223cf1bf1ec1d0467425d869f7bab825f3b351d"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q17102802" href="/web/20230224222030/https://www.wikidata.org/wiki/Q17102802">rng</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div><div id="Q161172$e7bcd062-442f-d3a9-ee90-16214fa536c1" class="wikibase-statementview wikibase-statement-Q161172$e7bcd062-442f-d3a9-ee90-16214fa536c1 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-e2eed4753eccbbb4f3d685307875da252002246c"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q10533491" href="/web/20230224222030/https://www.wikidata.org/wiki/Q10533491">non-empty set</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">1 reference</div> <div class="wikibase-statementview-references wikibase-initially-collapsed"><div class="wikibase-listview"><div class="wikibase-referenceview wikibase-referenceview-93d4cb4ad890f2f1792f23087dd7a0572f091618"> <div class="wikibase-referenceview-heading"></div> <div class="wikibase-referenceview-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-78f5b2d48f9556e16dd2c6384af7e3da07c268d4"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P248" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P248">stated in</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q18507726" href="/web/20230224222030/https://www.wikidata.org/wiki/Q18507726">Algebras, rings and modules</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-107e0a04142c7dd493f162226c57d18e5ab57270"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P304" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P304">page(s)</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">1</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div> </div></div></div> </div> </div><div id="Q161172$0D014893-3B9D-4A15-8440-C4292D91F3F0" class="wikibase-statementview wikibase-statement-Q161172$0D014893-3B9D-4A15-8440-C4292D91F3F0 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-0bedb8c0290288731bdc95ef9400c3d1a3a16fe6"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q205464" href="/web/20230224222030/https://www.wikidata.org/wiki/Q205464">algebraic structure</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div><div id="Q161172$aa6b0420-4378-f57c-d266-c2a4470cbec0" class="wikibase-statementview wikibase-statement-Q161172$aa6b0420-4378-f57c-d266-c2a4470cbec0 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-3ae0306b8344a4c737c9ce26760326db57259589"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q13512116" href="/web/20230224222030/https://www.wikidata.org/wiki/Q13512116">nonassociative ring</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div><div id="Q161172$39976268-4efd-dd8d-abec-f5e53a0e6979" class="wikibase-statementview wikibase-statement-Q161172$39976268-4efd-dd8d-abec-f5e53a0e6979 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-16cd75c4824ba4e14db7c7858b8234e0e1bf90f9"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q83478" href="/web/20230224222030/https://www.wikidata.org/wiki/Q83478">mathematical group</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P18" data-property-id="P18"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P18" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P18">image</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$8be244da-4316-d368-7ee1-fa69db1ab875" class="wikibase-statementview wikibase-statement-Q161172$8be244da-4316-d368-7ee1-fa69db1ab875 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-2b808add727619892e27ef058c0ee6f63f6313ef"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><div class="thumb"><a class="image" href="https://web.archive.org/web/20230224222030/https://commons.wikimedia.org/wiki/File:Dedekind.jpeg"><span><img alt="" src="//web.archive.org/web/20230224222030im_/https://upload.wikimedia.org/wikipedia/commons/thumb/c/ca/Dedekind.jpeg/220px-Dedekind.jpeg" decoding="async" width="220" height="274" srcset="//web.archive.org/web/20230224222030im_/https://upload.wikimedia.org/wikipedia/commons/c/ca/Dedekind.jpeg 1.5x" data-file-width="262" data-file-height="326"/></span></a></div><div class="commons-media-caption"><a href="https://web.archive.org/web/20230224222030/https://commons.wikimedia.org/wiki/File:Dedekind.jpeg">Dedekind.jpeg</a><br/>262 × 326; 12 KB</div></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2579" data-property-id="P2579"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2579" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P2579">studied by</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$3aa76560-4c14-dfea-98f1-90219135708e" class="wikibase-statementview wikibase-statement-Q161172$3aa76560-4c14-dfea-98f1-90219135708e wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-994657b1d784077a5eed6067ce832e87effa6da1"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q1208658" href="/web/20230224222030/https://www.wikidata.org/wiki/Q1208658">ring theory</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2534" data-property-id="P2534"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2534" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P2534">defining formula</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$55b8baac-40a1-43dd-191e-44d9d4b707fd" class="wikibase-statementview wikibase-statement-Q161172$55b8baac-40a1-43dd-191e-44d9d4b707fd wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-bc982000b96eae4373dd0488114dfb9bdcc25ef4"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{aligned}(r+s)+t&=r+(s+t)\\r+s&=s+r\\r+0&=r\\r+(-r)&=0\\(rs)t&=r(st)\\r(s+t)&=rs+rt\\(r+s)t&=rt+st\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mo stretchy="false">(</mo> <mi>r</mi> <mo>+</mo> <mi>s</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mi>t</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mi>r</mi> <mo>+</mo> <mo stretchy="false">(</mo> <mi>s</mi> <mo>+</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mi>r</mi> <mo>+</mo> <mi>s</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mi>s</mi> <mo>+</mo> <mi>r</mi> </mtd> </mtr> <mtr> <mtd> <mi>r</mi> <mo>+</mo> <mn>0</mn> </mtd> <mtd> <mi></mi> <mo>=</mo> <mi>r</mi> </mtd> </mtr> <mtr> <mtd> <mi>r</mi> <mo>+</mo> <mo stretchy="false">(</mo> <mo>−<!-- − --></mo> <mi>r</mi> <mo stretchy="false">)</mo> </mtd> <mtd> <mi></mi> <mo>=</mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo stretchy="false">(</mo> <mi>r</mi> <mi>s</mi> <mo stretchy="false">)</mo> <mi>t</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mi>r</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mi>t</mi> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mi>r</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>+</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mtd> <mtd> <mi></mi> <mo>=</mo> <mi>r</mi> <mi>s</mi> <mo>+</mo> <mi>r</mi> <mi>t</mi> </mtd> </mtr> <mtr> <mtd> <mo stretchy="false">(</mo> <mi>r</mi> <mo>+</mo> <mi>s</mi> <mo stretchy="false">)</mo> <mi>t</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mi>r</mi> <mi>t</mi> <mo>+</mo> <mi>s</mi> <mi>t</mi> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}(r+s)+t&=r+(s+t)\\r+s&=s+r\\r+0&=r\\r+(-r)&=0\\(rs)t&=r(st)\\r(s+t)&=rs+rt\\(r+s)t&=rt+st\end{aligned}}}</annotation> </semantics> </math></span><img src="https://web.archive.org/web/20230224222030im_/https://wikimedia.org/api/rest_v1/media/math/render/svg/d9c4f2b43c99d57866f0e84611c7f250f944d7fe" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -10.171ex; width:24.788ex; height:21.509ex;" alt="{\displaystyle {\begin{aligned}(r+s)+t&=r+(s+t)\\r+s&=s+r\\r+0&=r\\r+(-r)&=0\\(rs)t&=r(st)\\r(s+t)&=rs+rt\\(r+s)t&=rt+st\end{aligned}}}"/></span></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P5008" data-property-id="P5008"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P5008" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P5008">on focus list of Wikimedia project</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$A9244CFE-8FB6-4414-8D69-CA28338455D3" class="wikibase-statementview wikibase-statement-Q161172$A9244CFE-8FB6-4414-8D69-CA28338455D3 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-136e3fbe19158e73e4bfebf3f2d98a9df8638b7e"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q6173448" href="/web/20230224222030/https://www.wikidata.org/wiki/Q6173448">Wikipedia:Vital articles/Level/4</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"><div class="wikibase-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-7661f66dd5b82a1ea92515ddb16c09ce3088edea"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P585" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P585">point in time</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">31 October 2022</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2670" data-property-id="P2670"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2670" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P2670">has part(s) of the class</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$7458C95D-AF79-455A-9501-18065B17E0BF" class="wikibase-statementview wikibase-statement-Q161172$7458C95D-AF79-455A-9501-18065B17E0BF wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-cb45fe3f2a66e6f21a4386cf6ced8ed724887bc4"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q181296" href="/web/20230224222030/https://www.wikidata.org/wiki/Q181296">abelian group</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"><div class="wikibase-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-9d780ee198074963faf438f66fe68ee4315db6dd"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P1114" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P1114">quantity</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">1</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">1 reference</div> <div class="wikibase-statementview-references wikibase-initially-collapsed"><div class="wikibase-listview"><div class="wikibase-referenceview wikibase-referenceview-93d4cb4ad890f2f1792f23087dd7a0572f091618"> <div class="wikibase-referenceview-heading"></div> <div class="wikibase-referenceview-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-78f5b2d48f9556e16dd2c6384af7e3da07c268d4"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P248" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P248">stated in</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q18507726" href="/web/20230224222030/https://www.wikidata.org/wiki/Q18507726">Algebras, rings and modules</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-107e0a04142c7dd493f162226c57d18e5ab57270"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P304" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P304">page(s)</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">1</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div> </div></div></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P1889" data-property-id="P1889"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P1889" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P1889">different from</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$26ebfaa5-4405-67f7-30ec-cb7e8737869c" class="wikibase-statementview wikibase-statement-Q161172$26ebfaa5-4405-67f7-30ec-cb7e8737869c wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-f34682fdf86014d6cd1ff6282931effd7571de89"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q3269789" href="/web/20230224222030/https://www.wikidata.org/wiki/Q3269789">unital ring</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div><div id="Q161172$7f5b79fc-4a06-83e6-1dd0-ebe255b3e71a" class="wikibase-statementview wikibase-statement-Q161172$7f5b79fc-4a06-83e6-1dd0-ebe255b3e71a wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-2cd5a61f4e364168772f04c811395b81c6a11a96"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q17102802" href="/web/20230224222030/https://www.wikidata.org/wiki/Q17102802">rng</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div><div id="Q161172$73ade76b-48f9-ae91-597b-4dda09c741ac" class="wikibase-statementview wikibase-statement-Q161172$73ade76b-48f9-ae91-597b-4dda09c741ac wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-0c372c44ef7bf5a4aceb34ab46b4b0a8c8111988"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q13512116" href="/web/20230224222030/https://www.wikidata.org/wiki/Q13512116">nonassociative ring</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P910" data-property-id="P910"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P910" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P910">topic's main category</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$90A78EA4-BD73-4762-BDAA-A9FF02411DD9" class="wikibase-statementview wikibase-statement-Q161172$90A78EA4-BD73-4762-BDAA-A9FF02411DD9 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-65d442f8b7e7fe23e7fdc404462c9683f790cc6e"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q17329131" href="/web/20230224222030/https://www.wikidata.org/wiki/Q17329131">Category:Rings (mathematics)</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">1 reference</div> <div class="wikibase-statementview-references wikibase-initially-collapsed"><div class="wikibase-listview"><div class="wikibase-referenceview wikibase-referenceview-9a24f7c0208b05d6be97077d855671d1dfdbc0dd"> <div class="wikibase-referenceview-heading"></div> <div class="wikibase-referenceview-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-d38375ffe6fe142663ff55cd783aa4df4301d83d"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P143" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P143">imported from Wikimedia project</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q48183" href="/web/20230224222030/https://www.wikidata.org/wiki/Q48183">German Wikipedia</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div> </div></div></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div></div></div><h2 class="wb-section-heading section-heading wikibase-statements wikibase-statements-identifiers" dir="auto" id="identifiers">Identifiers</h2><div class="wikibase-statementgrouplistview"><div class="wikibase-listview"><div class="wikibase-statementgroupview" id="P950" data-property-id="P950"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P950" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P950">Biblioteca Nacional de España ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$9b2fd843-4aef-f73d-1a9d-51e0e1df428d" class="wikibase-statementview wikibase-statement-Q161172$9b2fd843-4aef-f73d-1a9d-51e0e1df428d wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-1b25823dc57d6b7bdc13ec0174be99de75bacde0"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://datos.bne.es/resource/XX531097" rel="nofollow">XX531097</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P268" data-property-id="P268"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P268" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P268">Bibliothèque nationale de France ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$0d8a021e-4dec-0620-d9b1-145f62fc827d" class="wikibase-statementview wikibase-statement-Q161172$0d8a021e-4dec-0620-d9b1-145f62fc827d wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-08a471e65a716f06a0d6bba4052cb70d47d1d74d"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://catalogue.bnf.fr/ark:/12148/cb131630283" rel="nofollow">131630283</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P227" data-property-id="P227"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P227" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P227">GND ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$5db18afa-4b8a-f568-ab0d-2230a5774967" class="wikibase-statementview wikibase-statement-Q161172$5db18afa-4b8a-f568-ab0d-2230a5774967 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-bde44a689fcf2f273d748bcd619a45d496af219e"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://d-nb.info/gnd/4128084-2" rel="nofollow">4128084-2</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2163" data-property-id="P2163"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2163" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P2163">FAST ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$24a98618-4bba-7ba8-d16e-3b6cd93b9453" class="wikibase-statementview wikibase-statement-Q161172$24a98618-4bba-7ba8-d16e-3b6cd93b9453 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-17e9d44d9e813fe1e57be4efc7cd1e6cb11b220f"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://id.worldcat.org/fast/1098024/" rel="nofollow">1098024</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P8189" data-property-id="P8189"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P8189" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P8189">National Library of Israel J9U ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$D56E08EF-15D7-4B21-A168-386A7ED7F804" class="wikibase-statementview wikibase-statement-Q161172$D56E08EF-15D7-4B21-A168-386A7ED7F804 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-dee1fc69d34400af7c26542a385facd5b3dedf35"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/http://uli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007538867405171" rel="nofollow">987007538867405171</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">1 reference</div> <div class="wikibase-statementview-references wikibase-initially-collapsed"><div class="wikibase-listview"><div class="wikibase-referenceview wikibase-referenceview-c8a47202c92936005b390eb36ddd267921b51f43"> <div class="wikibase-referenceview-heading"></div> <div class="wikibase-referenceview-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-0ea73b3596b49258a7b7ec6495950779b99e875d"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P248" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P248">stated in</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q188915" href="/web/20230224222030/https://www.wikidata.org/wiki/Q188915">National Library of Israel</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div> </div></div></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P244" data-property-id="P244"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P244" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P244">Library of Congress authority ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$C4718EE6-9ED7-4B8C-A20D-3873A923B88B" class="wikibase-statementview wikibase-statement-Q161172$C4718EE6-9ED7-4B8C-A20D-3873A923B88B wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-a77ac308964d7c0c9581963d6fffa23f7d008255"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://id.loc.gov/authorities/sh85114140" rel="nofollow">sh85114140</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">1 reference</div> <div class="wikibase-statementview-references wikibase-initially-collapsed"><div class="wikibase-listview"><div class="wikibase-referenceview wikibase-referenceview-ac5d47e9fbcc281bc0d27a205ae02e22ad24ce31"> <div class="wikibase-referenceview-heading"></div> <div class="wikibase-referenceview-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-b560dc6b281a39d061e189d2eb299a426a06f1a2"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P854" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P854">reference URL</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a rel="nofollow" class="external free" href="https://web.archive.org/web/20230224222030/https://github.com/JohnMarkOckerbloom/ftl/blob/master/data/wikimap">https://github.com/JohnMarkOckerbloom/ftl/blob/master/data/wikimap</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-0dcf4f64e93fdcc654e2c7534285881fe48b9f3d"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P813" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P813">retrieved</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">3 April 2019</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div> </div></div></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P691" data-property-id="P691"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P691" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P691">NKCR AUT ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$C253E298-D1EA-4060-9913-96258DB6CB7A" class="wikibase-statementview wikibase-statement-Q161172$C253E298-D1EA-4060-9913-96258DB6CB7A wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-bc6605c561d9123feb75855c45e5ce70c471a08f"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph126754" rel="nofollow">ph126754</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"><div class="wikibase-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-e0476aedb419e80156049d5146dbcca58164a29d"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P1810" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P1810">subject named as</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">okruhy (algebra)</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2581" data-property-id="P2581"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2581" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P2581">BabelNet ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$DE903181-57DD-4B0B-8C05-83E6623AA470" class="wikibase-statementview wikibase-statement-Q161172$DE903181-57DD-4B0B-8C05-83E6623AA470 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-0caac8b35e762f3855442777b1292f913c5e08c2"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://babelnet.org/synset?id=bn:03258622n&lang=EN" rel="nofollow">03258622n</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">1 reference</div> <div class="wikibase-statementview-references wikibase-initially-collapsed"><div class="wikibase-listview"><div class="wikibase-referenceview wikibase-referenceview-248ac337a217a5f5eed7139a82a4e60931611af0"> <div class="wikibase-referenceview-heading"></div> <div class="wikibase-referenceview-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-25b816aab41db18565946259c950aed6de05dd1e"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P248" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P248">stated in</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q4837690" href="/web/20230224222030/https://www.wikidata.org/wiki/Q4837690">BabelNet</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div> </div></div></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P508" data-property-id="P508"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P508" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P508">BNCF Thesaurus ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$e56dc047-4fc3-1cd9-5984-9f5a80f7da96" class="wikibase-statementview wikibase-statement-Q161172$e56dc047-4fc3-1cd9-5984-9f5a80f7da96 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-8e85709fea4fa52536cd3a4ff7ba2cf7cf54e692"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://thes.bncf.firenze.sbn.it/termine.php?id=18029" rel="nofollow">18029</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P1417" data-property-id="P1417"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P1417" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P1417">Encyclopædia Britannica Online ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$2B04C9E3-51AC-4181-8EF4-BB297ECFB4F4" class="wikibase-statementview wikibase-statement-Q161172$2B04C9E3-51AC-4181-8EF4-BB297ECFB4F4 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-97b04f18967212b6a91693dc26b3b2744efcc8a7"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://www.britannica.com/topic/ring-mathematics" rel="nofollow">topic/ring-mathematics</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P646" data-property-id="P646"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P646" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P646">Freebase ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$9D65E2B0-2A7C-4BBB-A890-5B3BC7CAEC50" class="wikibase-statementview wikibase-statement-Q161172$9D65E2B0-2A7C-4BBB-A890-5B3BC7CAEC50 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-dc81c2e31f7148d7489a28933d679636f20380a6"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://www.google.com/search?kgmid=/m/0cyyp" rel="nofollow">/m/0cyyp</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">1 reference</div> <div class="wikibase-statementview-references wikibase-initially-collapsed"><div class="wikibase-listview"><div class="wikibase-referenceview wikibase-referenceview-2b00cb481cddcac7623114367489b5c194901c4a"> <div class="wikibase-referenceview-heading"></div> <div class="wikibase-referenceview-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-a94b740202b097dd33355e0e6c00e54b9395e5e0"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P248" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P248">stated in</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q15241312" href="/web/20230224222030/https://www.wikidata.org/wiki/Q15241312">Freebase Data Dumps</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-fde79ecb015112d2f29229ccc1ec514ed3e71fa2"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P577" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P577">publication date</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">28 October 2013</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div> </div></div></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2924" data-property-id="P2924"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2924" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P2924">Great Russian Encyclopedia Online ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$c1803523-4d8b-031f-c9da-b4c5630c8a74" class="wikibase-statementview wikibase-statement-Q161172$c1803523-4d8b-031f-c9da-b4c5630c8a74 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-60a9859a04a41c8eb28a907081e4c6db83ef39d9"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://bigenc.ru/text/2080425" rel="nofollow">2080425</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2812" data-property-id="P2812"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2812" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P2812">MathWorld identifier</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$a8117258-416a-830e-13c1-e89b59e9ee62" class="wikibase-statementview wikibase-statement-Q161172$a8117258-416a-830e-13c1-e89b59e9ee62 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-7c688f05cd14fd68ede22f27c09f6d4881b29a37"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://mathworld.wolfram.com/Ring.html" rel="nofollow">Ring</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P6366" data-property-id="P6366"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P6366" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P6366">Microsoft Academic ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$B32C9433-3EA3-4AEA-AB38-037488514C42" class="wikibase-statementview wikibase-statement-Q161172$B32C9433-3EA3-4AEA-AB38-037488514C42 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-6b115ad3f8f55eeb6771e7d34e063837de14a731"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://web.archive.org/web/*/https://academic.microsoft.com/v2/detail/23259944" rel="nofollow">23259944</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P4215" data-property-id="P4215"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P4215" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P4215">nLab ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$d9411151-4a6d-883a-a636-20f844a12e24" class="wikibase-statementview wikibase-statement-Q161172$d9411151-4a6d-883a-a636-20f844a12e24 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-812fe47ff7769b928dca46a30f7234fe53e54efe"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://ncatlab.org/nlab/show/ring" rel="nofollow">ring</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P7305" data-property-id="P7305"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P7305" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P7305">Online PWN Encyclopedia ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$CA082716-EB13-44DB-BCE1-24CD04D3E26F" class="wikibase-statementview wikibase-statement-Q161172$CA082716-EB13-44DB-BCE1-24CD04D3E26F wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-8f225cc05aaa5b3911486803da4b9c8d0a4746b3"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://encyklopedia.pwn.pl/haslo/;3956882.html" rel="nofollow">3956882</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P4342" data-property-id="P4342"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P4342" href="/web/20230224222030/https://www.wikidata.org/wiki/Property:P4342">Store norske leksikon ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q161172$bee139f9-4ee5-86c7-96c8-7bc3bc44ea0b" class="wikibase-statementview wikibase-statement-Q161172$bee139f9-4ee5-86c7-96c8-7bc3bc44ea0b wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-f53f1c655815e0f38c5833d63b056be97d71ae54"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/20230224222030/https://wikidata-externalid-url.toolforge.org/?p=4342&url_prefix=https://snl.no/&id=ring_-_matematikk" rel="nofollow">ring_-_matematikk</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div></div></div></div> <div class="wikibase-entityview-side"><div class="wikibase-pageImage"> <div class="help"> <span class="wb-help-field-hint wikibase-toolbar-item wikibase-wbtooltip" title="This image is taken from the statements of this Item. You can adjust the image by changing the statement."> </span> </div> </div><h2 class="wb-section-heading section-heading wikibase-sitelinks" dir="auto" id="sitelinks">Sitelinks</h2><div class="wikibase-sitelinkgrouplistview"><div class="wikibase-listview"><div class="wikibase-sitelinkgroupview mw-collapsible" data-wb-sitelinks-group="wikipedia"> <div class="wikibase-sitelinkgroupview-heading-section"> <div class="wikibase-sitelinkgroupview-heading-container"> <h3 class="wb-sitelinks-heading" dir="auto" id="sitelinks-wikipedia">Wikipedia<span class="wikibase-sitelinkgroupview-counter">(64 entries)</span></h3> <span class="wikibase-toolbar-container"><span class="wikibase-toolbar-item wikibase-toolbar "><span class="wikibase-toolbar-item wikibase-toolbar-button wikibase-toolbar-button-edit"><a href="/web/20230224222030/https://www.wikidata.org/wiki/Special:SetSiteLink/Q161172" title=""><span class="wb-icon"></span>edit</a></span></span></span> </div> </div> <div class="mw-collapsible-content"> <div class="wikibase-sitelinklistview"> <ul class="wikibase-sitelinklistview-listview"><li class="wikibase-sitelinkview wikibase-sitelinkview-arwiki" data-wb-siteid="arwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-arwiki" title="Arabic">arwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-arwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ar"><a href="https://web.archive.org/web/20230224222030/https://ar.wikipedia.org/wiki/%D8%AD%D9%84%D9%82%D8%A9_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)" hreflang="ar" title="حلقة (رياضيات)">حلقة (رياضيات)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-bawiki" data-wb-siteid="bawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-bawiki" title="Bashkir">bawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-bawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ba"><a href="https://web.archive.org/web/20230224222030/https://ba.wikipedia.org/wiki/%D2%A0%D1%83%D0%BB%D1%81%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" hreflang="ba" title="Ҡулса (математика)">Ҡулса (математика)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-bewiki" data-wb-siteid="bewiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-bewiki" title="Belarusian">bewiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-bewiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="be"><a href="https://web.archive.org/web/20230224222030/https://be.wikipedia.org/wiki/%D0%9A%D0%B0%D0%BB%D1%8C%D1%86%D0%BE_(%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0)" hreflang="be" title="Кальцо (алгебра)">Кальцо (алгебра)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-bgwiki" data-wb-siteid="bgwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-bgwiki" title="Bulgarian">bgwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-bgwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="bg"><a href="https://web.archive.org/web/20230224222030/https://bg.wikipedia.org/wiki/%D0%9F%D1%80%D1%8A%D1%81%D1%82%D0%B5%D0%BD_(%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0)" hreflang="bg" title="Пръстен (алгебра)">Пръстен (алгебра)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-bswiki" data-wb-siteid="bswiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-bswiki" title="Bosnian">bswiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-bswiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="bs"><a href="https://web.archive.org/web/20230224222030/https://bs.wikipedia.org/wiki/Prsten_(matematika)" hreflang="bs" title="Prsten (matematika)">Prsten (matematika)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-cawiki" data-wb-siteid="cawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-cawiki" title="Catalan">cawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-cawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ca"><a href="https://web.archive.org/web/20230224222030/https://ca.wikipedia.org/wiki/Anell_(matem%C3%A0tiques)" hreflang="ca" title="Anell (matemàtiques)">Anell (matemàtiques)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-cswiki" data-wb-siteid="cswiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-cswiki" title="Czech">cswiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-cswiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="cs"><a href="https://web.archive.org/web/20230224222030/https://cs.wikipedia.org/wiki/Okruh_(algebra)" hreflang="cs" title="Okruh (algebra)">Okruh (algebra)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-cvwiki" data-wb-siteid="cvwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-cvwiki" title="Chuvash">cvwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-cvwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="cv"><a href="https://web.archive.org/web/20230224222030/https://cv.wikipedia.org/wiki/%D0%A3%D0%BD%D0%BA%C4%83_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" hreflang="cv" title="Ункă (математика)">Ункă (математика)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-cywiki" data-wb-siteid="cywiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-cywiki" title="Welsh">cywiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-cywiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="cy"><a href="https://web.archive.org/web/20230224222030/https://cy.wikipedia.org/wiki/Modrwy_(mathemateg)" hreflang="cy" title="Modrwy (mathemateg)">Modrwy (mathemateg)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-dawiki" data-wb-siteid="dawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-dawiki" title="Danish">dawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-dawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="da"><a href="https://web.archive.org/web/20230224222030/https://da.wikipedia.org/wiki/Ring_(matematik)" hreflang="da" title="Ring (matematik)">Ring (matematik)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-dewiki" data-wb-siteid="dewiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-dewiki" title="German">dewiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-dewiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="de"><a href="https://web.archive.org/web/20230224222030/https://de.wikipedia.org/wiki/Ring_(Algebra)" hreflang="de" title="Ring (Algebra)">Ring (Algebra)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-elwiki" data-wb-siteid="elwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-elwiki" title="Greek">elwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-elwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="el"><a href="https://web.archive.org/web/20230224222030/https://el.wikipedia.org/wiki/%CE%94%CE%B1%CE%BA%CF%84%CF%8D%CE%BB%CE%B9%CE%BF%CF%82_(%CE%AC%CE%BB%CE%B3%CE%B5%CE%B2%CF%81%CE%B1)" hreflang="el" title="Δακτύλιος (άλγεβρα)">Δακτύλιος (άλγεβρα)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-enwiki" data-wb-siteid="enwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-enwiki" title="English">enwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-enwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="en"><a href="https://web.archive.org/web/20230224222030/https://en.wikipedia.org/wiki/Ring_(mathematics)" hreflang="en" title="Ring (mathematics)">Ring (mathematics)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-eowiki" data-wb-siteid="eowiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-eowiki" title="Esperanto">eowiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-eowiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="eo"><a href="https://web.archive.org/web/20230224222030/https://eo.wikipedia.org/wiki/Ringo_(algebro)" hreflang="eo" title="Ringo (algebro)">Ringo (algebro)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-eswiki" data-wb-siteid="eswiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-eswiki" title="Spanish">eswiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-eswiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="es"><a href="https://web.archive.org/web/20230224222030/https://es.wikipedia.org/wiki/Anillo_(matem%C3%A1tica)" hreflang="es" title="Anillo (matemática)">Anillo (matemática)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-etwiki" data-wb-siteid="etwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-etwiki" title="Estonian">etwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-etwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="et"><a href="https://web.archive.org/web/20230224222030/https://et.wikipedia.org/wiki/Ring_(algebra)" hreflang="et" title="Ring (algebra)">Ring (algebra)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-euwiki" data-wb-siteid="euwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-euwiki" title="Basque">euwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-euwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="eu"><a href="https://web.archive.org/web/20230224222030/https://eu.wikipedia.org/wiki/Eraztun_(matematika)" hreflang="eu" title="Eraztun (matematika)">Eraztun (matematika)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-fawiki" data-wb-siteid="fawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-fawiki" title="Persian">fawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-fawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="fa"><a href="https://web.archive.org/web/20230224222030/https://fa.wikipedia.org/wiki/%D8%AD%D9%84%D9%82%D9%87_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA)" hreflang="fa" title="حلقه (ریاضیات)">حلقه (ریاضیات)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-fiwiki" data-wb-siteid="fiwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-fiwiki" title="Finnish">fiwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-fiwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="fi"><a href="https://web.archive.org/web/20230224222030/https://fi.wikipedia.org/wiki/Rengas_(matematiikka)" hreflang="fi" title="Rengas (matematiikka)">Rengas (matematiikka)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-frwiki" data-wb-siteid="frwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-frwiki" title="French">frwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-frwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="fr"><a href="https://web.archive.org/web/20230224222030/https://fr.wikipedia.org/wiki/Anneau_(math%C3%A9matiques)" hreflang="fr" title="Anneau (mathématiques)">Anneau (mathématiques)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-glwiki" data-wb-siteid="glwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-glwiki" title="Galician">glwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-glwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="gl"><a href="https://web.archive.org/web/20230224222030/https://gl.wikipedia.org/wiki/Anel_(%C3%A1lxebra)" hreflang="gl" title="Anel (álxebra)">Anel (álxebra)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-hewiki" data-wb-siteid="hewiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-hewiki" title="Hebrew">hewiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-hewiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="he"><a href="https://web.archive.org/web/20230224222030/https://he.wikipedia.org/wiki/%D7%97%D7%95%D7%92_(%D7%9E%D7%91%D7%A0%D7%94_%D7%90%D7%9C%D7%92%D7%91%D7%A8%D7%99)" hreflang="he" title="חוג (מבנה אלגברי)">חוג (מבנה אלגברי)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-hrwiki" data-wb-siteid="hrwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-hrwiki" title="Croatian">hrwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-hrwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="hr"><a href="https://web.archive.org/web/20230224222030/https://hr.wikipedia.org/wiki/Prsten_(matematika)" hreflang="hr" title="Prsten (matematika)">Prsten (matematika)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-huwiki" data-wb-siteid="huwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-huwiki" title="Hungarian">huwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-huwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="hu"><a href="https://web.archive.org/web/20230224222030/https://hu.wikipedia.org/wiki/Gy%C5%B1r%C5%B1_(matematika)" hreflang="hu" title="Gyűrű (matematika)">Gyűrű (matematika)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-hywiki" data-wb-siteid="hywiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-hywiki" title="Armenian">hywiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-hywiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="hy"><a href="https://web.archive.org/web/20230224222030/https://hy.wikipedia.org/wiki/%D5%95%D5%B2%D5%A1%D5%AF_(%D5%B4%D5%A1%D5%A9%D5%A5%D5%B4%D5%A1%D5%BF%D5%AB%D5%AF%D5%A1)" hreflang="hy" title="Օղակ (մաթեմատիկա)">Օղակ (մաթեմատիկա)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-iawiki" data-wb-siteid="iawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-iawiki" title="Interlingua">iawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-iawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ia"><a href="https://web.archive.org/web/20230224222030/https://ia.wikipedia.org/wiki/Anello_(algebra)" hreflang="ia" title="Anello (algebra)">Anello (algebra)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-idwiki" data-wb-siteid="idwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-idwiki" title="Indonesian">idwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-idwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="id"><a href="https://web.archive.org/web/20230224222030/https://id.wikipedia.org/wiki/Gelanggang_(matematika)" hreflang="id" title="Gelanggang (matematika)">Gelanggang (matematika)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-itwiki" data-wb-siteid="itwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-itwiki" title="Italian">itwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-itwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="it"><a href="https://web.archive.org/web/20230224222030/https://it.wikipedia.org/wiki/Anello_(algebra)" hreflang="it" title="Anello (algebra)">Anello (algebra)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-jawiki" data-wb-siteid="jawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-jawiki" title="Japanese">jawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-jawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ja"><a href="https://web.archive.org/web/20230224222030/https://ja.wikipedia.org/wiki/%E7%92%B0_(%E6%95%B0%E5%AD%A6)" hreflang="ja" title="環 (数学)">環 (数学)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-kawiki" data-wb-siteid="kawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-kawiki" title="Georgian">kawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-kawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ka"><a href="https://web.archive.org/web/20230224222030/https://ka.wikipedia.org/wiki/%E1%83%A0%E1%83%92%E1%83%9D%E1%83%9A%E1%83%98_(%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%90)" hreflang="ka" title="რგოლი (მათემატიკა)">რგოლი (მათემატიკა)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-kowiki" data-wb-siteid="kowiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-kowiki" title="Korean">kowiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-kowiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ko"><a href="https://web.archive.org/web/20230224222030/https://ko.wikipedia.org/wiki/%ED%99%98_(%EC%88%98%ED%95%99)" hreflang="ko" title="환 (수학)">환 (수학)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-lawiki" data-wb-siteid="lawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-lawiki" title="Latin">lawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-lawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="la"><a href="https://web.archive.org/web/20230224222030/https://la.wikipedia.org/wiki/Anellus" hreflang="la" title="Anellus">Anellus</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-lmowiki" data-wb-siteid="lmowiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-lmowiki" title="Lombard">lmowiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-lmowiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="lmo"><a href="https://web.archive.org/web/20230224222030/https://lmo.wikipedia.org/wiki/Anell_(matematega)" hreflang="lmo" title="Anell (matematega)">Anell (matematega)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-mlwiki" data-wb-siteid="mlwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-mlwiki" title="Malayalam">mlwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-mlwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ml"><a href="https://web.archive.org/web/20230224222030/https://ml.wikipedia.org/wiki/%E0%B4%B5%E0%B4%B2%E0%B4%AF%E0%B4%82_(%E0%B4%97%E0%B4%A3%E0%B4%BF%E0%B4%A4%E0%B4%82)" hreflang="ml" title="വലയം (ഗണിതം)">വലയം (ഗണിതം)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-mrwiki" data-wb-siteid="mrwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-mrwiki" title="Marathi">mrwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-mrwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="mr"><a href="https://web.archive.org/web/20230224222030/https://mr.wikipedia.org/wiki/%E0%A4%B0%E0%A4%BF%E0%A4%82%E0%A4%97" hreflang="mr" title="रिंग">रिंग</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-mswiki" data-wb-siteid="mswiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-mswiki" title="Malay">mswiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-mswiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ms"><a href="https://web.archive.org/web/20230224222030/https://ms.wikipedia.org/wiki/Gelanggang_(matematik)" hreflang="ms" title="Gelanggang (matematik)">Gelanggang (matematik)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-nlwiki" data-wb-siteid="nlwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-nlwiki" title="Dutch">nlwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-nlwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="nl"><a href="https://web.archive.org/web/20230224222030/https://nl.wikipedia.org/wiki/Ring_(wiskunde)" hreflang="nl" title="Ring (wiskunde)">Ring (wiskunde)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-nnwiki" data-wb-siteid="nnwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-nnwiki" title="Norwegian Nynorsk">nnwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-nnwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="nn"><a href="https://web.archive.org/web/20230224222030/https://nn.wikipedia.org/wiki/Ring_i_matematikk" hreflang="nn" title="Ring i matematikk">Ring i matematikk</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-novwiki" data-wb-siteid="novwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-novwiki" title="Novial">novwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-novwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="nov"><a href="https://web.archive.org/web/20230224222030/https://nov.wikipedia.org/wiki/Ringe_(matematike)" hreflang="nov" title="Ringe (matematike)">Ringe (matematike)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-nowiki" data-wb-siteid="nowiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-nowiki" title="Norwegian">nowiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-nowiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="no"><a href="https://web.archive.org/web/20230224222030/https://no.wikipedia.org/wiki/Ring_(matematikk)" hreflang="no" title="Ring (matematikk)">Ring (matematikk)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-plwiki" data-wb-siteid="plwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-plwiki" title="Polish">plwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-plwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="pl"><a href="https://web.archive.org/web/20230224222030/https://pl.wikipedia.org/wiki/Pier%C5%9Bcie%C5%84_(matematyka)" hreflang="pl" title="Pierścień (matematyka)">Pierścień (matematyka)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-pmswiki" data-wb-siteid="pmswiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-pmswiki" title="Piedmontese">pmswiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-pmswiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="pms"><a href="https://web.archive.org/web/20230224222030/https://pms.wikipedia.org/wiki/Anel" hreflang="pms" title="Anel">Anel</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-ptwiki" data-wb-siteid="ptwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-ptwiki" title="Portuguese">ptwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-ptwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="pt"><a href="https://web.archive.org/web/20230224222030/https://pt.wikipedia.org/wiki/Anel_(matem%C3%A1tica)" hreflang="pt" title="Anel (matemática)">Anel (matemática)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-rowiki" data-wb-siteid="rowiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-rowiki" title="Romanian">rowiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-rowiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ro"><a href="https://web.archive.org/web/20230224222030/https://ro.wikipedia.org/wiki/Inel_(matematic%C4%83)" hreflang="ro" title="Inel (matematică)">Inel (matematică)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-ruwiki" data-wb-siteid="ruwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-ruwiki" title="Russian">ruwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-ruwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ru"><a href="https://web.archive.org/web/20230224222030/https://ru.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BB%D1%8C%D1%86%D0%BE_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" hreflang="ru" title="Кольцо (математика)">Кольцо (математика)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-scnwiki" data-wb-siteid="scnwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-scnwiki" title="Sicilian">scnwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-scnwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="scn"><a href="https://web.archive.org/web/20230224222030/https://scn.wikipedia.org/wiki/Aneddu_(matim%C3%A0tica)" hreflang="scn" title="Aneddu (matimàtica)">Aneddu (matimàtica)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-shwiki" data-wb-siteid="shwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-shwiki" title="Serbo-Croatian">shwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-shwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="sh"><a href="https://web.archive.org/web/20230224222030/https://sh.wikipedia.org/wiki/Algebarski_prsten" hreflang="sh" title="Algebarski prsten">Algebarski prsten</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-simplewiki" data-wb-siteid="simplewiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-simplewiki" title="Simple English">simplewiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-simplewiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="en-simple"><a href="https://web.archive.org/web/20230224222030/https://simple.wikipedia.org/wiki/Ring_(mathematics)" hreflang="en-simple" title="Ring (mathematics)">Ring (mathematics)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-skwiki" data-wb-siteid="skwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-skwiki" title="Slovak">skwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-skwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="sk"><a href="https://web.archive.org/web/20230224222030/https://sk.wikipedia.org/wiki/Okruh_(algebra)" hreflang="sk" title="Okruh (algebra)">Okruh (algebra)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-slwiki" data-wb-siteid="slwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-slwiki" title="Slovenian">slwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-slwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="sl"><a href="https://web.archive.org/web/20230224222030/https://sl.wikipedia.org/wiki/Kolobar_(algebra)" hreflang="sl" title="Kolobar (algebra)">Kolobar (algebra)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-srwiki" data-wb-siteid="srwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-srwiki" title="Serbian">srwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-srwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="sr"><a href="https://web.archive.org/web/20230224222030/https://sr.wikipedia.org/wiki/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D0%B0%D1%80%D1%81%D0%BA%D0%B8_%D0%BF%D1%80%D1%81%D1%82%D0%B5%D0%BD" hreflang="sr" title="Алгебарски прстен">Алгебарски прстен</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-svwiki" data-wb-siteid="svwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-svwiki" title="Swedish">svwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-svwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="sv"><a href="https://web.archive.org/web/20230224222030/https://sv.wikipedia.org/wiki/Ring_(matematik)" hreflang="sv" title="Ring (matematik)">Ring (matematik)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-tawiki" data-wb-siteid="tawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-tawiki" title="Tamil">tawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-tawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ta"><a href="https://web.archive.org/web/20230224222030/https://ta.wikipedia.org/wiki/%E0%AE%B5%E0%AE%B3%E0%AF%88%E0%AE%AF%E0%AE%AE%E0%AF%8D_(%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D)" hreflang="ta" title="வளையம் (கணிதம்)">வளையம் (கணிதம்)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-thwiki" data-wb-siteid="thwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-thwiki" title="Thai">thwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-thwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="th"><a 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wikibase-sitelinkview-ukwiki" data-wb-siteid="ukwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-ukwiki" title="Ukrainian">ukwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-ukwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="uk"><a href="https://web.archive.org/web/20230224222030/https://uk.wikipedia.org/wiki/%D0%9A%D1%96%D0%BB%D1%8C%D1%86%D0%B5_(%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0)" hreflang="uk" title="Кільце (алгебра)">Кільце (алгебра)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-urwiki" data-wb-siteid="urwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-urwiki" title="Urdu">urwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-urwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ur"><a href="https://web.archive.org/web/20230224222030/https://ur.wikipedia.org/wiki/%D8%AD%D9%84%D9%82%DB%81_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" hreflang="ur" title="حلقہ (ریاضی)">حلقہ (ریاضی)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-viwiki" data-wb-siteid="viwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-viwiki" title="Vietnamese">viwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-viwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="vi"><a href="https://web.archive.org/web/20230224222030/https://vi.wikipedia.org/wiki/V%C3%A0nh" hreflang="vi" title="Vành">Vành</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-vlswiki" data-wb-siteid="vlswiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-vlswiki" title="West Flemish">vlswiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-vlswiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="vls"><a href="https://web.archive.org/web/20230224222030/https://vls.wikipedia.org/wiki/Rienk_(algebra)" hreflang="vls" title="Rienk (algebra)">Rienk (algebra)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-wuuwiki" data-wb-siteid="wuuwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-wuuwiki" title="Wu Chinese">wuuwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-wuuwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="wuu"><a href="https://web.archive.org/web/20230224222030/https://wuu.wikipedia.org/wiki/%E7%8E%AF%EF%BC%88%E4%BB%A3%E6%95%B0%EF%BC%89" hreflang="wuu" title="环(代数)">环(代数)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-zh_classicalwiki" data-wb-siteid="zh_classicalwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-zh_classicalwiki" title="Classical Chinese">zh_classicalwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-zh_classicalwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="lzh"><a href="https://web.archive.org/web/20230224222030/https://zh-classical.wikipedia.org/wiki/%E7%92%B0_(%E4%BB%A3%E6%95%B8)" hreflang="lzh" title="環 (代數)">環 (代數)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-zh_min_nanwiki" data-wb-siteid="zh_min_nanwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-zh_min_nanwiki" title="Chinese (Min Nan)">zh_min_nanwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-zh_min_nanwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="nan"><a href="https://web.archive.org/web/20230224222030/https://zh-min-nan.wikipedia.org/wiki/Kh%C3%B4an" hreflang="nan" title="Khôan">Khôan</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-zh_yuewiki" data-wb-siteid="zh_yuewiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-zh_yuewiki" title="Cantonese">zh_yuewiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-zh_yuewiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="yue"><a href="https://web.archive.org/web/20230224222030/https://zh-yue.wikipedia.org/wiki/%E7%92%B0_(%E4%BB%A3%E6%95%B8)" hreflang="yue" title="環 (代數)">環 (代數)</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-zhwiki" data-wb-siteid="zhwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-zhwiki" title="Chinese">zhwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-zhwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="zh"><a href="https://web.archive.org/web/20230224222030/https://zh.wikipedia.org/wiki/%E7%8E%AF_(%E4%BB%A3%E6%95%B0)" hreflang="zh" title="环 (代数)">环 (代数)</a></span><span 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