CINXE.COM
About: Prime element
<!DOCTYPE html> <html prefix=" dbp: http://dbpedia.org/property/ dbo: http://dbedia.org/ontology/ dct: http://purl.org/dc/terms/ dbd: http://dbpedia.org/datatype/ og: https://ogp.me/ns# " > <!-- header --> <head> <meta charset="utf-8" /> <meta name="viewport" content="width=device-width, initial-scale=1" /> <title>About: Prime element</title> <!-- Links --> <link rel="alternate" type="application/rdf+xml" href="http://dbpedia.org/data/Prime_element.rdf" title="Structured Descriptor Document (RDF/XML format)" /> <link rel="alternate" type="text/n3" href="http://dbpedia.org/data/Prime_element.n3" title="Structured Descriptor Document (N3 format)" /> <link rel="alternate" type="text/turtle" href="http://dbpedia.org/data/Prime_element.ttl" title="Structured Descriptor Document (Turtle format)" /> <link rel="alternate" type="application/json+rdf" href="http://dbpedia.org/data/Prime_element.jrdf" title="Structured Descriptor Document (RDF/JSON format)" /> <link rel="alternate" type="application/json" href="http://dbpedia.org/data/Prime_element.json" title="Structured Descriptor Document (RDF/JSON format)" /> <link rel="alternate" type="application/atom+xml" href="http://dbpedia.org/data/Prime_element.atom" title="OData (Atom+Feed format)" /> <link rel="alternate" type="text/plain" href="http://dbpedia.org/data/Prime_element.ntriples" title="Structured Descriptor Document (N-Triples format)" /> <link rel="alternate" type="text/csv" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=text%2Fcsv" title="Structured Descriptor Document (CSV format)" /> <link rel="alternate" type="application/microdata+json" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=application%2Fmicrodata%2Bjson" title="Structured Descriptor Document (Microdata/JSON format)" /> <link rel="alternate" type="text/html" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=text%2Fhtml" title="Structured Descriptor Document (Microdata/HTML format)" /> <link rel="alternate" type="application/ld+json" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=application%2Fld%2Bjson" title="Structured Descriptor Document (JSON-LD format)" /> <link rel="alternate" type="text/x-html-script-ld+json" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=text%2Fx-html-script-ld%2Bjson" title="Structured Descriptor Document (HTML with embedded JSON-LD)" /> <link rel="alternate" type="text/x-html-script-turtle" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=text%2Fx-html-script-turtle" title="Structured Descriptor Document (HTML with embedded Turtle)" /> <link rel="timegate" type="text/html" href="http://dbpedia.mementodepot.org/timegate/http://dbpedia.org/page/Prime_element" title="Time Machine" /> <link rel="foaf:primarytopic" href="http://dbpedia.org/resource/Prime_element"/> <link rev="describedby" href="http://dbpedia.org/resource/Prime_element"/> <!-- /Links --> <!-- Stylesheets --> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/bootstrap/5.2.1/css/bootstrap.min.css" integrity="sha512-siwe/oXMhSjGCwLn+scraPOWrJxHlUgMBMZXdPe2Tnk3I0x3ESCoLz7WZ5NTH6SZrywMY+PB1cjyqJ5jAluCOg==" crossorigin="anonymous" /> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/bootstrap-icons/1.9.1/font/bootstrap-icons.min.css" integrity="sha512-5PV92qsds/16vyYIJo3T/As4m2d8b6oWYfoqV+vtizRB6KhF1F9kYzWzQmsO6T3z3QG2Xdhrx7FQ+5R1LiQdUA==" crossorigin="anonymous" /> <!-- link rel="stylesheet" href="/statics/css/dbpedia.css" --> <!-- /Stylesheets--> <!-- OpenGraph --> <meta property="og:title" content="Prime element" /> <meta property="og:type" content="article" /> <meta property="og:url" content="http://dbpedia.org/resource/Prime_element" /> <meta property="og:image" content="/statics/images/dbpedia_logo.png" /> <meta property="og:description" content="In mathematics, specifically in abstract algebra, a prime element of a commutative ring is an object satisfying certain properties similar to the prime numbers in the integers and to irreducible polynomials. Care should be taken to distinguish prime elements from irreducible elements, a concept which is the same in UFDs but not the same in general." /> <meta property="og:site_name" content="DBpedia" /> <!-- /OpenGraph--> </head> <body about="http://dbpedia.org/resource/Prime_element"> <!-- navbar --> <nav class="navbar navbar-expand-md navbar-light bg-light fixed-top align-items-center"> <div class="container-xl"> <a class="navbar-brand" href="http://wiki.dbpedia.org/about" title="About DBpedia" style="color: #2c5078"> <img class="img-fluid" src="/statics/images/dbpedia_logo_land_120.png" alt="About DBpedia" /> </a> <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#dbp-navbar" aria-controls="dbp-navbar" aria-expanded="false" aria-label="Toggle navigation"> <span class="navbar-toggler-icon"></span> </button> <div class="collapse navbar-collapse" id="dbp-navbar"> <ul class="navbar-nav me-auto mb-2 mb-lg-0"> <li class="nav-item dropdown"> <a class="nav-link dropdown-toggle" href="#" id="navbarDropdownBrowse" role="button" data-bs-toggle="dropdown" aria-expanded="false"> <i class="bi-eye-fill"></i> Browse using<span class="caret"></span></a> <ul class="dropdown-menu" aria-labelledby="navbarDropdownBrowse"> <li class="dropdown-item"><a class="nav-link" href="/describe/?uri=http%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element">OpenLink Faceted Browser</a></li> <li class="dropdown-item"><a class="nav-link" href="http://osde.demo.openlinksw.com/#/editor?uri=http%3A%2F%2Fdbpedia.org%2Fdata%2FPrime_element.ttl&view=statements">OpenLink Structured Data Editor</a></li> <li class="dropdown-item"><a class="nav-link" href="http://en.lodlive.it/?http%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element">LodLive Browser</a></li> <!-- li class="dropdown-item"><a class="nav-link" href="http://lodmilla.sztaki.hu/lodmilla/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element">LODmilla Browser</a></li --> </ul> </li> <li class="nav-item dropdown"> <a class="nav-link dropdown-toggle" href="#" id="navbarDropdownFormats" role="button" data-bs-toggle="dropdown" aria-expanded="false"> <i class="bi-file-earmark-fill"></i> Formats<span class="caret"></span></a> <ul class="dropdown-menu" aria-labelledby="navbarDropdownFormats"> <li class="dropdown-item-text">RDF:</li> <li><a class="dropdown-item" href="http://dbpedia.org/data/Prime_element.ntriples">N-Triples</a></li> <li><a class="dropdown-item" href="http://dbpedia.org/data/Prime_element.n3">N3</a></li> <li><a class="dropdown-item" href="http://dbpedia.org/data/Prime_element.ttl">Turtle</a></li> <li><a class="dropdown-item" href="http://dbpedia.org/data/Prime_element.json">JSON</a></li> <li><a class="dropdown-item" href="http://dbpedia.org/data/Prime_element.rdf">XML</a></li> <li class="dropdown-divider"></li> <li class="dropdown-item-text">OData:</li> <li><a class="dropdown-item" href="http://dbpedia.org/data/Prime_element.atom">Atom</a></li> <li><a class="dropdown-item" href="http://dbpedia.org/data/Prime_element.jsod">JSON</a></li> <li class="dropdown-divider"></li> <li class="dropdown-item-text">Microdata:</li> <li><a class="dropdown-item" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=application%2Fmicrodata%2Bjson">JSON</a></li> <li><a class="dropdown-item" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=text%2Fhtml">HTML</a></li> <li class="dropdown-divider"></li> <li class="dropdown-item-text">Embedded:</li> <li><a class="dropdown-item" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=text%2Fx-html-script-ld%2Bjson">JSON</a></li> <li><a class="dropdown-item" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=text%2Fx-html-script-turtle">Turtle</a></li> <li class="dropdown-divider"></li> <li class="dropdown-item-text">Other:</li> <li><a class="dropdown-item" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=text%2Fcsv">CSV</a></li> <li><a class="dropdown-item" href="http://dbpedia.org/sparql?default-graph-uri=http%3A%2F%2Fdbpedia.org&query=DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FPrime_element%3E&format=application%2Fld%2Bjson">JSON-LD</a></li> </ul> </li> </ul> <ul class="navbar-nav ms-auto"> <li class="nav-item"> <a class="nav-link" href="/fct/" title="Switch to /fct endpoint"><i class="bi-box-arrow-up-right"></i> Faceted Browser </a> </li> <li class="nav-item"> <a class="nav-link" href="/sparql/" title="Switch to /sparql endpoint"><i class="bi-box-arrow-up-right"></i> Sparql Endpoint </a> </li> </ul> </div> </div> </nav> <div style="margin-bottom: 60px"></div> <!-- /navbar --> <!-- page-header --> <section> <div class="container-xl"> <div class="row"> <div class="col"> <h1 id="title" class="display-6"><b>About:</b> <a href="http://dbpedia.org/resource/Prime_element">Prime element</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> <span class="text-nowrap">An Entity of Type: <a href="javascript:void()">Thing</a>, </span> <span class="text-nowrap">from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, </span> <span class="text-nowrap">within Data Space: <a href="http://dbpedia.org">dbpedia.org</a></span> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> <p class="lead">In mathematics, specifically in abstract algebra, a prime element of a commutative ring is an object satisfying certain properties similar to the prime numbers in the integers and to irreducible polynomials. Care should be taken to distinguish prime elements from irreducible elements, a concept which is the same in UFDs but not the same in general.</p> </div> </div> </div> </section> <!-- page-header --> <!-- property-table --> <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract"><small>dbo:</small>abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="cs" >V oboru abstraktní algebry je prvočinitel takový prvek komutativního okruhu , který není ani nulou ani jednotkou a který pro všechna splňuje podmínku, že pokud dělí součin , pak dělí nebo dělí . Jedná se o zobecnění prvočísel. V případě celých čísel jsou prvočiniteli právě prvočísla a čísla k nim , tedy prvočísla vynásobená , tedy čísla .</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="de" >Der Begriff Primelement ist in der kommutativen Algebra eine Verallgemeinerung des Begriffs der Primzahl auf kommutative unitäre Ringe.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ar" >في الرياضيات وخاصة في الجبر المجرد، عنصر أولي من حلقة تبادلية هو عنصر غير مساو للصفر يملك خصائص تشبه خصائص الأعداد الأولية بالنسبة إلى الأعداد الطبيعية. ينبغي رد الانتباه إلى أن مفهوم العنصر الأولي يختلف عن مفهوم . هذان المفهومان يتطابقان في ويختلفان في غيره.</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="eo" >En ringo-teorio, prima elemento estas tia nenula elemento de komuta ringo ke, se ĝi dividas produton de pluraj elementoj, do ĝi dividas almenaŭ unu el tiuj.</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="es" >En álgebra abstracta, un elemento de un anillo es primo si satisface una condición similar a la establecida por el lema de Euclides. O condensando: Un elemento k no nulo y no invertible de un anillo R se llama primo, si cada vez que k divide al producto de dos elementos de R, también divide uno de sus factores. Se ve que si a es primo, entonces todo asociado de a es primo. Ejemplos: 2 es primo en el conjunto de los números enteros, pues si 2 divide a s×t, entonces s o t es par, sino de lo contrario el producto sería impar.5 es primo en el conjunto ℤ de los enteros. Sea que 5 divide a s×t. Por otra parte, se asume que s =5j+m, t = 5k+l, donde 1≤l<5, 1≤m<5 luego st = 5(5jk+jl+km) +ml, de modo que 5 divide a ml . Lo que implica, debido a la desigualdades incluyentes a l y m, que ml = 0; luego m= 0 o bien l=0; y así 5 divide a s o 5 divide a t.8 no es primo en Z, pues 8 divide a 4×6 y no divide a 4, tampoco a 6. Esto es equivalente a la condición que el ideal principal generado por el elemento p sea un ideal primo distinto de cero.</span><small> (es)</small></span></li> <li><span class="literal"><span property="dbo:abstract" lang="en" >In mathematics, specifically in abstract algebra, a prime element of a commutative ring is an object satisfying certain properties similar to the prime numbers in the integers and to irreducible polynomials. Care should be taken to distinguish prime elements from irreducible elements, a concept which is the same in UFDs but not the same in general.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ja" >数学、特に抽象代数学において、可換環の素元（英: prime element）は整数における素数や既約多項式と似たある性質を満たす対象である。素元と既約元を区別するよう注意しなければならない。既約元はUFDにおいては素元と同じ概念であるが、一般には異なる。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pt" >Seja um anel comutativo. Um elemento (onde é o conjunto das unidades de ) é primo se com então ou .</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pl" >Element pierwszy – uogólnienie pojęcia liczby pierwszej.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="sv" >Ett primelement är ett element p ≠ 0, i en heltalsring, som inte är inverterbart och sådant att, om p är delare till a·b, så är p delare till a eller till b. I ringen av heltal Z, är primelementen identiska med primtalen. Generellt gäller, att i en heltalsring är primelementen irreducibla. I en principalidealring, EF-ring och i en euklidisk ring sammanfaller primelementen med de irreducibla elementen.</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ru" >Простой элемент ― обобщение понятия простого числа на случай произвольного коммутативного моноида с двусторонним сокращением, определяется как не являющийся делителем единицы ненулевой элемент , такой, что произведение может делиться на лишь тогда, когда хотя бы один из элементов или делится на . Простой элемент всегда неприводим, в общем случае из неприводимости простоты не следует, но в понятия неприводимости и простоты совпадают, и более того, если всякий неприводимый элемент из является простым, то полугруппа — гауссова. Понятие естественным образом переносится на области целостности, в этом случае имеет место эквивалентность неприводимости и простоты элемента для факториальных (гауссовых) колец, и из простоты всех неприводимых элементов в области целостности следует, что кольцо факториально. Кроме того, простота элемента эквивалентна простоте главного идеала, им порождённого. Существуют также обобщения понятий простоты и неприводимости на некоммутативный случай.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="zh" >在數學裡，尤其是在抽象代數裡，交換環的質元素（prime element）是指滿足類似整數裡的質數或不可約多項式之性質的一個數學物件。須注意的是，質元素與不可約元素之間並不相同，雖然在唯一分解整環裡是一樣的，但在一般情況下則不一定相同。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="uk" >У комутативній алгебрі термін простий елемент є узагальненням поняття простого числа для довільного комутативного кільця з одиницею.</span><small> (uk)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageID"><small>dbo:</small>wikiPageID</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbo:wikiPageID" datatype="xsd:integer" >60692</span><small> (xsd:integer)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageLength"><small>dbo:</small>wikiPageLength</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbo:wikiPageLength" datatype="xsd:nonNegativeInteger" >4751</span><small> (xsd:nonNegativeInteger)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageRevisionID"><small>dbo:</small>wikiPageRevisionID</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbo:wikiPageRevisionID" datatype="xsd:integer" >1091158340</span><small> (xsd:integer)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageWikiLink"><small>dbo:</small>wikiPageWikiLink</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Prime_ideal" href="http://dbpedia.org/resource/Prime_ideal"><small>dbr</small>:Prime_ideal</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Principal_ideal" href="http://dbpedia.org/resource/Principal_ideal"><small>dbr</small>:Principal_ideal</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Ring_of_integers" href="http://dbpedia.org/resource/Ring_of_integers"><small>dbr</small>:Ring_of_integers</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Unit_(ring_theory)" href="http://dbpedia.org/resource/Unit_(ring_theory)"><small>dbr</small>:Unit_(ring_theory)</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Integral_domain" href="http://dbpedia.org/resource/Integral_domain"><small>dbr</small>:Integral_domain</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Quotient_ring" href="http://dbpedia.org/resource/Quotient_ring"><small>dbr</small>:Quotient_ring</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Category:Ring_theory" href="http://dbpedia.org/resource/Category:Ring_theory"><small>dbc</small>:Ring_theory</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Mathematics" href="http://dbpedia.org/resource/Mathematics"><small>dbr</small>:Mathematics</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Zero_element" href="http://dbpedia.org/resource/Zero_element"><small>dbr</small>:Zero_element</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Fundamental_theorem_of_arithmetic" href="http://dbpedia.org/resource/Fundamental_theorem_of_arithmetic"><small>dbr</small>:Fundamental_theorem_of_arithmetic</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Gaussian_integers" href="http://dbpedia.org/resource/Gaussian_integers"><small>dbr</small>:Gaussian_integers</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Commutative_ring" href="http://dbpedia.org/resource/Commutative_ring"><small>dbr</small>:Commutative_ring</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Divisibility_(ring_theory)" href="http://dbpedia.org/resource/Divisibility_(ring_theory)"><small>dbr</small>:Divisibility_(ring_theory)</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/GCD_domain" href="http://dbpedia.org/resource/GCD_domain"><small>dbr</small>:GCD_domain</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Irreducible_element" href="http://dbpedia.org/resource/Irreducible_element"><small>dbr</small>:Irreducible_element</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Irreducible_polynomial" href="http://dbpedia.org/resource/Irreducible_polynomial"><small>dbr</small>:Irreducible_polynomial</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Euclid's_lemma" href="http://dbpedia.org/resource/Euclid's_lemma"><small>dbr</small>:Euclid's_lemma</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Graduate_Texts_in_Mathematics" href="http://dbpedia.org/resource/Graduate_Texts_in_Mathematics"><small>dbr</small>:Graduate_Texts_in_Mathematics</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Unique_factorization_domain" href="http://dbpedia.org/resource/Unique_factorization_domain"><small>dbr</small>:Unique_factorization_domain</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Prime_number" href="http://dbpedia.org/resource/Prime_number"><small>dbr</small>:Prime_number</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Abstract_algebra" href="http://dbpedia.org/resource/Abstract_algebra"><small>dbr</small>:Abstract_algebra</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Integer" href="http://dbpedia.org/resource/Integer"><small>dbr</small>:Integer</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Ring_of_algebraic_integers" href="http://dbpedia.org/resource/Ring_of_algebraic_integers"><small>dbr</small>:Ring_of_algebraic_integers</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Ring_of_polynomials" href="http://dbpedia.org/resource/Ring_of_polynomials"><small>dbr</small>:Ring_of_polynomials</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Springer-Verlag" href="http://dbpedia.org/resource/Springer-Verlag"><small>dbr</small>:Springer-Verlag</a></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/wikiPageUsesTemplate"><small>dbp:</small>wikiPageUsesTemplate</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Citation" href="http://dbpedia.org/resource/Template:Citation"><small>dbt</small>:Citation</a></span></li> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Main" href="http://dbpedia.org/resource/Template:Main"><small>dbt</small>:Main</a></span></li> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Math" href="http://dbpedia.org/resource/Template:Math"><small>dbt</small>:Math</a></span></li> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Mvar" href="http://dbpedia.org/resource/Template:Mvar"><small>dbt</small>:Mvar</a></span></li> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Reflist" href="http://dbpedia.org/resource/Template:Reflist"><small>dbt</small>:Reflist</a></span></li> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Short_description" href="http://dbpedia.org/resource/Template:Short_description"><small>dbt</small>:Short_description</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://purl.org/dc/terms/subject"><small>dcterms:</small>subject</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Ring_theory" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Ring_theory"><small>dbc</small>:Ring_theory</a></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#comment"><small>rdfs:</small>comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="cs" >V oboru abstraktní algebry je prvočinitel takový prvek komutativního okruhu , který není ani nulou ani jednotkou a který pro všechna splňuje podmínku, že pokud dělí součin , pak dělí nebo dělí . Jedná se o zobecnění prvočísel. V případě celých čísel jsou prvočiniteli právě prvočísla a čísla k nim , tedy prvočísla vynásobená , tedy čísla .</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="de" >Der Begriff Primelement ist in der kommutativen Algebra eine Verallgemeinerung des Begriffs der Primzahl auf kommutative unitäre Ringe.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ar" >في الرياضيات وخاصة في الجبر المجرد، عنصر أولي من حلقة تبادلية هو عنصر غير مساو للصفر يملك خصائص تشبه خصائص الأعداد الأولية بالنسبة إلى الأعداد الطبيعية. ينبغي رد الانتباه إلى أن مفهوم العنصر الأولي يختلف عن مفهوم . هذان المفهومان يتطابقان في ويختلفان في غيره.</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="eo" >En ringo-teorio, prima elemento estas tia nenula elemento de komuta ringo ke, se ĝi dividas produton de pluraj elementoj, do ĝi dividas almenaŭ unu el tiuj.</span><small> (eo)</small></span></li> <li><span class="literal"><span property="rdfs:comment" lang="en" >In mathematics, specifically in abstract algebra, a prime element of a commutative ring is an object satisfying certain properties similar to the prime numbers in the integers and to irreducible polynomials. Care should be taken to distinguish prime elements from irreducible elements, a concept which is the same in UFDs but not the same in general.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ja" >数学、特に抽象代数学において、可換環の素元（英: prime element）は整数における素数や既約多項式と似たある性質を満たす対象である。素元と既約元を区別するよう注意しなければならない。既約元はUFDにおいては素元と同じ概念であるが、一般には異なる。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pt" >Seja um anel comutativo. Um elemento (onde é o conjunto das unidades de ) é primo se com então ou .</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pl" >Element pierwszy – uogólnienie pojęcia liczby pierwszej.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="sv" >Ett primelement är ett element p ≠ 0, i en heltalsring, som inte är inverterbart och sådant att, om p är delare till a·b, så är p delare till a eller till b. I ringen av heltal Z, är primelementen identiska med primtalen. Generellt gäller, att i en heltalsring är primelementen irreducibla. I en principalidealring, EF-ring och i en euklidisk ring sammanfaller primelementen med de irreducibla elementen.</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="zh" >在數學裡，尤其是在抽象代數裡，交換環的質元素（prime element）是指滿足類似整數裡的質數或不可約多項式之性質的一個數學物件。須注意的是，質元素與不可約元素之間並不相同，雖然在唯一分解整環裡是一樣的，但在一般情況下則不一定相同。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="uk" >У комутативній алгебрі термін простий елемент є узагальненням поняття простого числа для довільного комутативного кільця з одиницею.</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="es" >En álgebra abstracta, un elemento de un anillo es primo si satisface una condición similar a la establecida por el lema de Euclides. O condensando: Un elemento k no nulo y no invertible de un anillo R se llama primo, si cada vez que k divide al producto de dos elementos de R, también divide uno de sus factores. Se ve que si a es primo, entonces todo asociado de a es primo. Ejemplos: Esto es equivalente a la condición que el ideal principal generado por el elemento p sea un ideal primo distinto de cero.</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ru" >Простой элемент ― обобщение понятия простого числа на случай произвольного коммутативного моноида с двусторонним сокращением, определяется как не являющийся делителем единицы ненулевой элемент , такой, что произведение может делиться на лишь тогда, когда хотя бы один из элементов или делится на . Простой элемент всегда неприводим, в общем случае из неприводимости простоты не следует, но в понятия неприводимости и простоты совпадают, и более того, если всякий неприводимый элемент из является простым, то полугруппа — гауссова.</span><small> (ru)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label"><small>rdfs:</small>label</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ar" >عنصر أولي</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="cs" >Prvočinitel</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="de" >Primelement</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="eo" >Prima elemento</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="es" >Elemento primo</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="fr" >Élément premier</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ja" >素元</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pl" >Element pierwszy</span><small> (pl)</small></span></li> <li><span class="literal"><span property="rdfs:label" lang="en" >Prime element</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pt" >Elemento primo</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ru" >Простой элемент</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="sv" >Primelement</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="uk" >Простий елемент</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="zh" >質元素</span><small> (zh)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#sameAs"><small>owl:</small>sameAs</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://rdf.freebase.com/ns/m.0gfh1sw" href="http://rdf.freebase.com/ns/m.0gfh1sw"><small>freebase</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://www.wikidata.org/entity/Q240651" href="http://www.wikidata.org/entity/Q240651"><small>wikidata</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://ar.dbpedia.org/resource/عنصر_أولي" href="http://ar.dbpedia.org/resource/عنصر_أولي"><small>dbpedia-ar</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://cs.dbpedia.org/resource/Prvočinitel" href="http://cs.dbpedia.org/resource/Prvočinitel"><small>dbpedia-cs</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://de.dbpedia.org/resource/Primelement" href="http://de.dbpedia.org/resource/Primelement"><small>dbpedia-de</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://eo.dbpedia.org/resource/Prima_elemento" href="http://eo.dbpedia.org/resource/Prima_elemento"><small>dbpedia-eo</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://es.dbpedia.org/resource/Elemento_primo" href="http://es.dbpedia.org/resource/Elemento_primo"><small>dbpedia-es</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://fr.dbpedia.org/resource/Élément_premier" href="http://fr.dbpedia.org/resource/Élément_premier"><small>dbpedia-fr</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://ja.dbpedia.org/resource/素元" href="http://ja.dbpedia.org/resource/素元"><small>dbpedia-ja</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://pl.dbpedia.org/resource/Element_pierwszy" href="http://pl.dbpedia.org/resource/Element_pierwszy"><small>dbpedia-pl</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://pt.dbpedia.org/resource/Elemento_primo" href="http://pt.dbpedia.org/resource/Elemento_primo"><small>dbpedia-pt</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://ru.dbpedia.org/resource/Простой_элемент" href="http://ru.dbpedia.org/resource/Простой_элемент"><small>dbpedia-ru</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://sv.dbpedia.org/resource/Primelement" href="http://sv.dbpedia.org/resource/Primelement"><small>dbpedia-sv</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://uk.dbpedia.org/resource/Простий_елемент" href="http://uk.dbpedia.org/resource/Простий_елемент"><small>dbpedia-uk</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://zh.dbpedia.org/resource/質元素" href="http://zh.dbpedia.org/resource/質元素"><small>dbpedia-zh</small>:Prime element</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="https://global.dbpedia.org/id/2GQvB" href="https://global.dbpedia.org/id/2GQvB">https://global.dbpedia.org/id/2GQvB</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/ns/prov#wasDerivedFrom"><small>prov:</small>wasDerivedFrom</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="prov:wasDerivedFrom" resource="http://en.wikipedia.org/wiki/Prime_element?oldid=1091158340&ns=0" href="http://en.wikipedia.org/wiki/Prime_element?oldid=1091158340&ns=0"><small>wikipedia-en</small>:Prime_element?oldid=1091158340&ns=0</a></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://xmlns.com/foaf/0.1/isPrimaryTopicOf"><small>foaf:</small>isPrimaryTopicOf</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="foaf:isPrimaryTopicOf" resource="http://en.wikipedia.org/wiki/Prime_element" href="http://en.wikipedia.org/wiki/Prime_element"><small>wikipedia-en</small>:Prime_element</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2">is <a class="uri" href="http://dbpedia.org/ontology/wikiPageDisambiguates"><small>dbo:</small>wikiPageDisambiguates</a> of</td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rev="dbo:wikiPageDisambiguates" resource="http://dbpedia.org/resource/Prime_(disambiguation)" href="http://dbpedia.org/resource/Prime_(disambiguation)"><small>dbr</small>:Prime_(disambiguation)</a></span></li> </ul></td></tr><tr class="even"><td class="col-2">is <a class="uri" href="http://dbpedia.org/ontology/wikiPageWikiLink"><small>dbo:</small>wikiPageWikiLink</a> of</td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Prime_ideal" href="http://dbpedia.org/resource/Prime_ideal"><small>dbr</small>:Prime_ideal</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Principal_ideal_domain" href="http://dbpedia.org/resource/Principal_ideal_domain"><small>dbr</small>:Principal_ideal_domain</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Algebraic_number_field" href="http://dbpedia.org/resource/Algebraic_number_field"><small>dbr</small>:Algebraic_number_field</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Hurwitz_quaternion" href="http://dbpedia.org/resource/Hurwitz_quaternion"><small>dbr</small>:Hurwitz_quaternion</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/List_of_prime_numbers" href="http://dbpedia.org/resource/List_of_prime_numbers"><small>dbr</small>:List_of_prime_numbers</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Integral_domain" href="http://dbpedia.org/resource/Integral_domain"><small>dbr</small>:Integral_domain</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Invertible_module" href="http://dbpedia.org/resource/Invertible_module"><small>dbr</small>:Invertible_module</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Ervand_Kogbetliantz" href="http://dbpedia.org/resource/Ervand_Kogbetliantz"><small>dbr</small>:Ervand_Kogbetliantz</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Eisenstein_prime" href="http://dbpedia.org/resource/Eisenstein_prime"><small>dbr</small>:Eisenstein_prime</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Fundamental_theorem_of_arithmetic" href="http://dbpedia.org/resource/Fundamental_theorem_of_arithmetic"><small>dbr</small>:Fundamental_theorem_of_arithmetic</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Gauss's_lemma_(polynomials)" href="http://dbpedia.org/resource/Gauss's_lemma_(polynomials)"><small>dbr</small>:Gauss's_lemma_(polynomials)</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Gaussian_integer" href="http://dbpedia.org/resource/Gaussian_integer"><small>dbr</small>:Gaussian_integer</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Glossary_of_commutative_algebra" href="http://dbpedia.org/resource/Glossary_of_commutative_algebra"><small>dbr</small>:Glossary_of_commutative_algebra</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Glossary_of_ring_theory" href="http://dbpedia.org/resource/Glossary_of_ring_theory"><small>dbr</small>:Glossary_of_ring_theory</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Commutative_ring" href="http://dbpedia.org/resource/Commutative_ring"><small>dbr</small>:Commutative_ring</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain" href="http://dbpedia.org/resource/Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain"><small>dbr</small>:Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/GCD_domain" href="http://dbpedia.org/resource/GCD_domain"><small>dbr</small>:GCD_domain</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Gödel_numbering_for_sequences" href="http://dbpedia.org/resource/Gödel_numbering_for_sequences"><small>dbr</small>:Gödel_numbering_for_sequences</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Irreducible_element" href="http://dbpedia.org/resource/Irreducible_element"><small>dbr</small>:Irreducible_element</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Irreducible_ideal" href="http://dbpedia.org/resource/Irreducible_ideal"><small>dbr</small>:Irreducible_ideal</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Irreducible_polynomial" href="http://dbpedia.org/resource/Irreducible_polynomial"><small>dbr</small>:Irreducible_polynomial</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Euclid's_lemma" href="http://dbpedia.org/resource/Euclid's_lemma"><small>dbr</small>:Euclid's_lemma</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Unique_factorization_domain" href="http://dbpedia.org/resource/Unique_factorization_domain"><small>dbr</small>:Unique_factorization_domain</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Prime_(disambiguation)" href="http://dbpedia.org/resource/Prime_(disambiguation)"><small>dbr</small>:Prime_(disambiguation)</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Ring_(mathematics)" href="http://dbpedia.org/resource/Ring_(mathematics)"><small>dbr</small>:Ring_(mathematics)</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Group_(mathematics)" href="http://dbpedia.org/resource/Group_(mathematics)"><small>dbr</small>:Group_(mathematics)</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Atomic_domain" href="http://dbpedia.org/resource/Atomic_domain"><small>dbr</small>:Atomic_domain</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Prime_number" href="http://dbpedia.org/resource/Prime_number"><small>dbr</small>:Prime_number</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Schreier_domain" href="http://dbpedia.org/resource/Schreier_domain"><small>dbr</small>:Schreier_domain</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Ascending_chain_condition_on_principal_ideals" href="http://dbpedia.org/resource/Ascending_chain_condition_on_principal_ideals"><small>dbr</small>:Ascending_chain_condition_on_principal_ideals</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Bézout_domain" href="http://dbpedia.org/resource/Bézout_domain"><small>dbr</small>:Bézout_domain</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Fermat's_theorem_on_sums_of_two_squares" href="http://dbpedia.org/resource/Fermat's_theorem_on_sums_of_two_squares"><small>dbr</small>:Fermat's_theorem_on_sums_of_two_squares</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Zariski_topology" href="http://dbpedia.org/resource/Zariski_topology"><small>dbr</small>:Zariski_topology</a></span></li> <li><span class="literal"><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Square-free_element" href="http://dbpedia.org/resource/Square-free_element"><small>dbr</small>:Square-free_element</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2">is <a class="uri" href="http://xmlns.com/foaf/0.1/primaryTopic"><small>foaf:</small>primaryTopic</a> of</td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rev="foaf:primaryTopic" resource="http://en.wikipedia.org/wiki/Prime_element" href="http://en.wikipedia.org/wiki/Prime_element"><small>wikipedia-en</small>:Prime_element</a></span></li> </ul></td></tr> </tbody> </table> </div> </div> </div> </section> <!-- property-table --> <!-- footer --> <section> <div class="container-xl"> <div class="text-center p-4 bg-light"> <a href="https://virtuoso.openlinksw.com/" title="OpenLink Virtuoso"><img class="powered_by" src="/statics/images/virt_power_no_border.png" alt="Powered by OpenLink Virtuoso"/></a>    <a href="http://linkeddata.org/"><img alt="This material is Open Knowledge" src="/statics/images/LoDLogo.gif"/></a>     <a href="http://dbpedia.org/sparql"><img alt="W3C Semantic Web Technology" src="/statics/images/sw-sparql-blue.png"/></a>     <a href="https://opendefinition.org/"><img alt="This material is Open Knowledge" src="/statics/images/od_80x15_red_green.png"/></a>    <span style="display:none;" about="" resource="http://www.w3.org/TR/rdfa-syntax" rel="dc:conformsTo"> <a href="https://validator.w3.org/check?uri=referer"> <img src="https://www.w3.org/Icons/valid-xhtml-rdfa" alt="Valid XHTML + RDFa" /> </a> </span> <br /> <small class="text-muted"> This content was extracted from <a href="http://en.wikipedia.org/wiki/Prime_element">Wikipedia</a> and is licensed under the <a href="http://creativecommons.org/licenses/by-sa/3.0/">Creative Commons Attribution-ShareAlike 3.0 Unported License</a> </small> </div> </div> </section> <!-- #footer --> <!-- scripts --> <script src="https://cdnjs.cloudflare.com/ajax/libs/bootstrap/5.2.1/js/bootstrap.bundle.min.js" integrity="sha512-1TK4hjCY5+E9H3r5+05bEGbKGyK506WaDPfPe1s/ihwRjr6OtL43zJLzOFQ+/zciONEd+sp7LwrfOCnyukPSsg==" crossorigin="anonymous"> </script> </body> </html>