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Operassion - Wikipedia an piemontèis, l'enciclopedìa lìbera e a gràtis

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href="/wiki/Wikipedia:Neuve"><span>Neuve</span></a></li><li id="n-Ùltime-modìfiche" class="mw-list-item"><a href="/wiki/Special:UltimeModifiche"><span>Ùltime modìfiche</span></a></li><li id="n-Na-pàgina-qualsëssìa" class="mw-list-item"><a href="/wiki/Special:PaginaCasuale"><span>Na pàgina qualsëssìa</span></a></li><li id="n-Agiut" class="mw-list-item"><a href="/wiki/Agiut:Agiut"><span>Agiut</span></a></li><li id="n-Doné!" class="mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_pms.wikipedia.org&amp;uselang=pms"><span>Doné!</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Intrada" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" 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class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_pms.wikipedia.org&amp;uselang=pms" class=""><span>Oferte</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:CreaUtenza&amp;returnto=Operassion" title="I-j consejoma ëd creé un cont e ëd rintré ant ël sistema; però a l&#039;é nen obligatòri" class=""><span>Creé un cont</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:Entra&amp;returnto=Operassion" title="Un a l&#039;é nen obligà a rintré ant al sistema, ma se a lo fa a l&#039;é mej [o]" accesskey="o" class=""><span>Rintré ant ël sistema</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Altre opzioni" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Utiss përsonaj" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label 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class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Indice" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Indice</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">sposta nella barra laterale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">nascondi</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Inizio</div> </a> </li> <li id="toc-Esempi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Esempi"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Esempi</span> </div> </a> <ul id="toc-Esempi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Propietà_dj&#039;operassion" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Propietà_dj&#039;operassion"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Propietà dj'operassion</span> </div> </a> <button aria-controls="toc-Propietà_dj&#039;operassion-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Attiva/disattiva la sottosezione Propietà dj'operassion</span> </button> <ul id="toc-Propietà_dj&#039;operassion-sublist" class="vector-toc-list"> <li id="toc-Propietà_associativa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Propietà_associativa"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Propietà associativa</span> </div> </a> <ul id="toc-Propietà_associativa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Propietà_comutativa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Propietà_comutativa"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Propietà comutativa</span> </div> </a> <ul id="toc-Propietà_comutativa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Element_neutral" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Element_neutral"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Element neutral</span> </div> </a> <ul id="toc-Element_neutral-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Element_surbent" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Element_surbent"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Element surbent</span> </div> </a> <ul id="toc-Element_surbent-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Propietà_ch&#039;a_ìmplico_vàire_operassion" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Propietà_ch&#039;a_ìmplico_vàire_operassion"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Propietà ch'a ìmplico vàire operassion</span> </div> </a> <button aria-controls="toc-Propietà_ch&#039;a_ìmplico_vàire_operassion-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Attiva/disattiva la sottosezione Propietà ch'a ìmplico vàire operassion</span> </button> <ul id="toc-Propietà_ch&#039;a_ìmplico_vàire_operassion-sublist" class="vector-toc-list"> <li id="toc-Distributività" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Distributività"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Distributività</span> </div> </a> <ul id="toc-Distributività-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Morfism" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Morfism"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Morfism</span> </div> </a> <button aria-controls="toc-Morfism-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Attiva/disattiva la sottosezione Morfism</span> </button> <ul id="toc-Morfism-sublist" class="vector-toc-list"> <li id="toc-Esempi_2" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Esempi_2"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Esempi</span> </div> </a> <ul id="toc-Esempi_2-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Chèich_propietà_dij_morfism" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Chèich_propietà_dij_morfism"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Chèich propietà dij morfism</span> </div> </a> <ul id="toc-Chèich_propietà_dij_morfism-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Indice" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Mostra/Nascondi l&#039;indice" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Mostra/Nascondi l&#039;indice</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Operassion</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Vai a una voce in un&#039;altra lingua. Disponibile in 64 lingue" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-64" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">64 lingue</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D9%85%D9%84%D9%8A%D8%A9_%D8%AB%D9%86%D8%A7%D8%A6%D9%8A%D8%A9" title="عملية ثنائية - arabo" lang="ar" hreflang="ar" data-title="عملية ثنائية" data-language-autonym="العربية" data-language-local-name="arabo" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Operaci%C3%B3n_binaria" title="Operación binaria - asturiano" lang="ast" hreflang="ast" data-title="Operación binaria" data-language-autonym="Asturianu" data-language-local-name="asturiano" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%91%D1%96%D0%BD%D0%B0%D1%80%D0%BD%D0%B0%D1%8F_%D0%B0%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D1%8B%D1%8F" title="Бінарная аперацыя - bielorusso" lang="be" hreflang="be" data-title="Бінарная аперацыя" data-language-autonym="Беларуская" data-language-local-name="bielorusso" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%91%D0%B8%D0%BD%D0%B0%D1%80%D0%BD%D0%B0_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D0%B8%D1%8F" title="Бинарна операция - bulgaro" lang="bg" hreflang="bg" data-title="Бинарна операция" data-language-autonym="Български" data-language-local-name="bulgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%85%E0%A6%AA%E0%A6%BE%E0%A6%B0%E0%A7%87%E0%A6%B6%E0%A6%A8_(%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4)" title="অপারেশন (গণিত) - bengalese" lang="bn" hreflang="bn" data-title="অপারেশন (গণিত)" data-language-autonym="বাংলা" data-language-local-name="bengalese" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Binarna_operacija" title="Binarna operacija - bosniaco" lang="bs" hreflang="bs" data-title="Binarna operacija" data-language-autonym="Bosanski" data-language-local-name="bosniaco" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Operaci%C3%B3_bin%C3%A0ria" title="Operació binària - catalano" lang="ca" hreflang="ca" data-title="Operació binària" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%A9%D8%B1%D8%AF%D8%A7%D8%B1_(%D8%A8%DB%8C%D8%B1%DA%A9%D8%A7%D8%B1%DB%8C)" title="کردار (بیرکاری) - curdo centrale" lang="ckb" hreflang="ckb" data-title="کردار (بیرکاری)" data-language-autonym="کوردی" data-language-local-name="curdo centrale" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Bin%C3%A1rn%C3%AD_operace" title="Binární operace - ceco" lang="cs" hreflang="cs" data-title="Binární operace" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%91%D0%B8%D0%BD%D0%B0%D1%80%D0%BB%C4%83_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D0%B8" title="Бинарлă операци - ciuvascio" lang="cv" hreflang="cv" data-title="Бинарлă операци" data-language-autonym="Чӑвашла" data-language-local-name="ciuvascio" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Bin%C3%A6r_operator" title="Binær operator - danese" lang="da" hreflang="da" data-title="Binær operator" data-language-autonym="Dansk" data-language-local-name="danese" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Zweistellige_Verkn%C3%BCpfung" title="Zweistellige Verknüpfung - tedesco" lang="de" hreflang="de" data-title="Zweistellige Verknüpfung" data-language-autonym="Deutsch" data-language-local-name="tedesco" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CF%85%CE%B1%CE%B4%CE%B9%CE%BA%CE%AE_%CF%80%CF%81%CE%AC%CE%BE%CE%B7" title="Δυαδική πράξη - greco" lang="el" hreflang="el" data-title="Δυαδική πράξη" data-language-autonym="Ελληνικά" data-language-local-name="greco" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Binary_operation" title="Binary operation - inglese" lang="en" hreflang="en" data-title="Binary operation" data-language-autonym="English" data-language-local-name="inglese" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Duvalenta_operacio" title="Duvalenta operacio - esperanto" lang="eo" hreflang="eo" data-title="Duvalenta operacio" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Operaci%C3%B3n_binaria" title="Operación binaria - spagnolo" lang="es" hreflang="es" data-title="Operación binaria" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Binaarne_tehe" title="Binaarne tehe - estone" lang="et" hreflang="et" data-title="Binaarne tehe" data-language-autonym="Eesti" data-language-local-name="estone" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Eragiketa_bitar" title="Eragiketa bitar - basco" lang="eu" hreflang="eu" data-title="Eragiketa bitar" data-language-autonym="Euskara" data-language-local-name="basco" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B9%D9%85%D9%84_%D8%AF%D9%88%D8%AA%D8%A7%DB%8C%DB%8C" title="عمل دوتایی - persiano" lang="fa" hreflang="fa" data-title="عمل دوتایی" data-language-autonym="فارسی" data-language-local-name="persiano" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Bin%C3%A4%C3%A4rioperaatio" title="Binäärioperaatio - finlandese" lang="fi" hreflang="fi" data-title="Binäärioperaatio" data-language-autonym="Suomi" data-language-local-name="finlandese" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Op%C3%A9ration_binaire" title="Opération binaire - francese" lang="fr" hreflang="fr" data-title="Opération binaire" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Obrachadh_c%C3%A0raideach" title="Obrachadh càraideach - gaelico scozzese" lang="gd" hreflang="gd" data-title="Obrachadh càraideach" data-language-autonym="Gàidhlig" data-language-local-name="gaelico scozzese" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Operaci%C3%B3n_binaria" title="Operación binaria - galiziano" lang="gl" hreflang="gl" data-title="Operación binaria" data-language-autonym="Galego" data-language-local-name="galiziano" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%A2%D7%95%D7%9C%D7%94_%D7%91%D7%99%D7%A0%D7%90%D7%A8%D7%99%D7%AA" title="פעולה בינארית - ebraico" lang="he" hreflang="he" data-title="פעולה בינארית" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Binarna_operacija" title="Binarna operacija - croato" lang="hr" hreflang="hr" data-title="Binarna operacija" data-language-autonym="Hrvatski" data-language-local-name="croato" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Operation_binari" title="Operation binari - interlingua" lang="ia" hreflang="ia" data-title="Operation binari" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Operasi_biner" title="Operasi biner - indonesiano" lang="id" hreflang="id" data-title="Operasi biner" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/A%C3%B0ger%C3%B0_(st%C3%A6r%C3%B0fr%C3%A6%C3%B0i)" title="Aðgerð (stærðfræði) - islandese" lang="is" hreflang="is" data-title="Aðgerð (stærðfræði)" data-language-autonym="Íslenska" data-language-local-name="islandese" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Operazione_binaria" title="Operazione binaria - italiano" lang="it" hreflang="it" data-title="Operazione binaria" data-language-autonym="Italiano" data-language-local-name="italiano" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%BA%8C%E9%A0%85%E6%BC%94%E7%AE%97" title="二項演算 - giapponese" lang="ja" hreflang="ja" data-title="二項演算" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko badge-Q70893996 mw-list-item" title=""><a href="https://ko.wikipedia.org/wiki/%EC%9D%B4%ED%95%AD_%EC%97%B0%EC%82%B0" title="이항 연산 - coreano" lang="ko" hreflang="ko" data-title="이항 연산" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Kiryar_(matemat%C3%AEk)" title="Kiryar (matematîk) - curdo" lang="ku" hreflang="ku" data-title="Kiryar (matematîk)" data-language-autonym="Kurdî" data-language-local-name="curdo" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Bin%C4%81ra_oper%C4%81cija" title="Bināra operācija - lettone" lang="lv" hreflang="lv" data-title="Bināra operācija" data-language-autonym="Latviešu" data-language-local-name="lettone" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Operasi_biner" title="Operasi biner - menangkabau" lang="min" hreflang="min" data-title="Operasi biner" data-language-autonym="Minangkabau" data-language-local-name="menangkabau" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%A6%E0%B5%8D%E0%B4%B5%E0%B4%AF%E0%B4%BE%E0%B4%99%E0%B5%8D%E0%B4%95%E0%B4%B8%E0%B4%82%E0%B4%95%E0%B5%8D%E0%B4%B0%E0%B4%BF%E0%B4%AF" title="ദ്വയാങ്കസംക്രിയ - malayalam" lang="ml" hreflang="ml" data-title="ദ്വയാങ്കസംക്രിയ" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Operasi_dedua" title="Operasi dedua - malese" lang="ms" hreflang="ms" data-title="Operasi dedua" data-language-autonym="Bahasa Melayu" data-language-local-name="malese" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Binaire_operatie" title="Binaire operatie - olandese" lang="nl" hreflang="nl" data-title="Binaire operatie" data-language-autonym="Nederlands" data-language-local-name="olandese" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Bin%C3%A6r_operasjon" title="Binær operasjon - norvegese nynorsk" lang="nn" hreflang="nn" data-title="Binær operasjon" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegese nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Bin%C3%A6r_operasjon" title="Binær operasjon - norvegese bokmål" lang="nb" hreflang="nb" data-title="Binær operasjon" data-language-autonym="Norsk bokmål" data-language-local-name="norvegese bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/L%C3%A8i_de_composicion_int%C3%A8rna" title="Lèi de composicion intèrna - occitano" lang="oc" hreflang="oc" data-title="Lèi de composicion intèrna" data-language-autonym="Occitan" data-language-local-name="occitano" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Dzia%C5%82anie_dwuargumentowe" title="Działanie dwuargumentowe - polacco" lang="pl" hreflang="pl" data-title="Działanie dwuargumentowe" data-language-autonym="Polski" data-language-local-name="polacco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Opera%C3%A7%C3%A3o_bin%C3%A1ria" title="Operação binária - portoghese" lang="pt" hreflang="pt" data-title="Operação binária" data-language-autonym="Português" data-language-local-name="portoghese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Opera%C8%9Bie_binar%C4%83" title="Operație binară - rumeno" lang="ro" hreflang="ro" data-title="Operație binară" data-language-autonym="Română" data-language-local-name="rumeno" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%91%D0%B8%D0%BD%D0%B0%D1%80%D0%BD%D0%B0%D1%8F_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D0%B8%D1%8F" title="Бинарная операция - russo" lang="ru" hreflang="ru" data-title="Бинарная операция" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Opirazzioni_binaria" title="Opirazzioni binaria - siciliano" lang="scn" hreflang="scn" data-title="Opirazzioni binaria" data-language-autonym="Sicilianu" data-language-local-name="siciliano" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Binarna_operacija" title="Binarna operacija - serbo-croato" lang="sh" hreflang="sh" data-title="Binarna operacija" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croato" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Binary_operation" title="Binary operation - Simple English" lang="en-simple" hreflang="en-simple" data-title="Binary operation" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Bin%C3%A1rna_oper%C3%A1cia" title="Binárna operácia - slovacco" lang="sk" hreflang="sk" data-title="Binárna operácia" data-language-autonym="Slovenčina" data-language-local-name="slovacco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Dvo%C4%8Dlena_operacija" title="Dvočlena operacija - sloveno" lang="sl" hreflang="sl" data-title="Dvočlena operacija" data-language-autonym="Slovenščina" data-language-local-name="sloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Veprimi_binar" title="Veprimi binar - albanese" lang="sq" hreflang="sq" data-title="Veprimi binar" data-language-autonym="Shqip" data-language-local-name="albanese" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%91%D0%B8%D0%BD%D0%B0%D1%80%D0%BD%D0%B0_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D0%B8%D1%98%D0%B0" title="Бинарна операција - serbo" lang="sr" hreflang="sr" data-title="Бинарна операција" data-language-autonym="Српски / srpski" data-language-local-name="serbo" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Bin%C3%A4r_operator" title="Binär operator - svedese" lang="sv" hreflang="sv" data-title="Binär operator" data-language-autonym="Svenska" data-language-local-name="svedese" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%88%E0%AE%B0%E0%AF%81%E0%AE%B1%E0%AF%81%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AF%81%E0%AE%9A%E0%AF%8D_%E0%AE%9A%E0%AF%86%E0%AE%AF%E0%AE%B2%E0%AE%BF" title="ஈருறுப்புச் செயலி - tamil" lang="ta" hreflang="ta" data-title="ஈருறுப்புச் செயலி" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%94%E0%B8%B3%E0%B9%80%E0%B8%99%E0%B8%B4%E0%B8%99%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%97%E0%B8%A7%E0%B8%B4%E0%B8%A0%E0%B8%B2%E0%B8%84" title="การดำเนินการทวิภาค - thailandese" lang="th" hreflang="th" data-title="การดำเนินการทวิภาค" data-language-autonym="ไทย" data-language-local-name="thailandese" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Operasyong_tambalan" title="Operasyong tambalan - tagalog" lang="tl" hreflang="tl" data-title="Operasyong tambalan" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C4%B0kili_i%C5%9Flem" title="İkili işlem - turco" lang="tr" hreflang="tr" data-title="İkili işlem" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%91%D1%96%D0%BD%D0%B0%D1%80%D0%BD%D0%B0_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D1%96%D1%8F" title="Бінарна операція - ucraino" lang="uk" hreflang="uk" data-title="Бінарна операція" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Ph%C3%A9p_to%C3%A1n_hai_ng%C3%B4i" title="Phép toán hai ngôi - vietnamita" lang="vi" hreflang="vi" data-title="Phép toán hai ngôi" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E4%BA%8C%E5%85%83%E8%BF%90%E7%AE%97" title="二元运算 - wu" lang="wuu" hreflang="wuu" data-title="二元运算" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%91%D0%B8%D0%BD%D0%B0%D1%80%D0%BD_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D0%B8%D1%8F" title="Бинарн операция - kalmyk" lang="xal" hreflang="xal" data-title="Бинарн операция" data-language-autonym="Хальмг" data-language-local-name="kalmyk" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%91%D7%99%D7%A0%D7%90%D7%A8%D7%99%D7%A9%D7%A2_%D7%90%D7%A4%D7%A2%D7%A8%D7%90%D7%A6%D7%99%D7%A2" title="בינארישע אפעראציע - yiddish" lang="yi" hreflang="yi" data-title="בינארישע אפעראציע" data-language-autonym="ייִדיש" data-language-local-name="yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BA%8C%E5%85%83%E8%BF%90%E7%AE%97" title="二元运算 - cinese" lang="zh" hreflang="zh" data-title="二元运算" data-language-autonym="中文" data-language-local-name="cinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E4%BA%8C%E5%85%83%E9%81%8B%E7%AE%97" title="二元運算 - cinese classico" lang="lzh" hreflang="lzh" data-title="二元運算" data-language-autonym="文言" data-language-local-name="cinese classico" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E4%BA%8C%E5%85%83%E9%81%8B%E7%AE%97" title="二元運算 - cantonese" lang="yue" hreflang="yue" data-title="二元運算" data-language-autonym="粵語" data-language-local-name="cantonese" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q164307#sitelinks-wikipedia" title="Modifiché le liure antërlenga" class="wbc-editpage">Modifiché j'anliure</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Spassi nominaj"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Operassion" title="Vardé la pàgina ëd contnù. [c]" accesskey="c"><span>Artìcol</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Discussion:Operassion&amp;action=edit&amp;redlink=1" rel="discussion" class="new" title="Discussion ansima a sta pàgina ëd contnù. (pàgina ch&#039;a esist pa) [t]" accesskey="t"><span>Discussion</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Cambia versione linguistica" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Piemontèis</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="vìsite"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Operassion"><span>Lese</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Operassion&amp;veaction=edit" title="Modifiché costa pàgina [v]" accesskey="v"><span>Modifiché</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Operassion&amp;action=edit" title="Modifiché ël còdes sorgiss ëd sa pàgina [e]" accesskey="e"><span>Modifiché la sorgiss</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Operassion&amp;action=history" title="Veje version dla pàgina. [h]" accesskey="h"><span>Smon-e la stòria</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Strumenti pagine"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="utiss" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">utiss</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Strumenti</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">sposta nella barra laterale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">nascondi</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Altre opzioni" > <div class="vector-menu-heading"> Azioni </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Operassion"><span>Lese</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Operassion&amp;veaction=edit" title="Modifiché costa pàgina [v]" accesskey="v"><span>Modifiché</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Operassion&amp;action=edit" title="Modifiché ël còdes sorgiss ëd sa pàgina [e]" accesskey="e"><span>Modifiché la sorgiss</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Operassion&amp;action=history"><span>Smon-e la stòria</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Generale </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:PuntanoQui/Operassion" title="Lista ëd tute le pàgine dla wiki che a men-o ambelessì. [j]" accesskey="j"><span>Pàgine con dj'anliure che a men-o a costa-sì</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:ModificheCorrelate/Operassion" rel="nofollow" title="Ùltime modìfiche dle pàgine andoa as peul andesse da costa. [k]" accesskey="k"><span>Modìfiche colegà</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=pms" title="Carié n&#039;archivi ëd figure ò son. [u]" accesskey="u"></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:PagineSpeciali" title="Lista ëd tute le pàgine speciaj. 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border:solid blue 1px; margin: 1px;"> <table cellspacing="0" style="border:solid red 1px; margin: 1px; width: 448px; background: lightblue;"> <tbody><tr> <td rowspan="3" style="width: 45px; height: 28px; text-align: center;"><span typeof="mw:File"><a href="/wiki/Figura:Drap%C3%B2_piemont%C3%A8is.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/pms/thumb/c/cb/Drap%C3%B2_piemont%C3%A8is.png/78px-Drap%C3%B2_piemont%C3%A8is.png" decoding="async" width="78" height="56" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/c/cb/Drap%C3%B2_piemont%C3%A8is.png/117px-Drap%C3%B2_piemont%C3%A8is.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/c/cb/Drap%C3%B2_piemont%C3%A8is.png/156px-Drap%C3%B2_piemont%C3%A8is.png 2x" data-file-width="800" data-file-height="571" /></a></span></td> <td style="font-size: 11pt; padding: 2pt 0pt 0pt 4pt; line-height: 1em; color: black;"><b><a class="mw-selflink selflink">Vos</a> an <a href="/wiki/Lenga_piemont%C3%A8isa" title="Lenga piemontèisa">lenga piemontèisa</a></b></td> </tr> <tr> <td style="font-size: 8pt; padding: 1pt 0pt 0pt 4pt; line-height: 1.25em; color: black;">Për amprende a dovré 'l sistema dle parlà locaj <a href="/wiki/Agiut:Parl%C3%A0_locaj" title="Agiut:Parlà locaj">ch'a varda sì</a>.</td> </tr> </tbody></table> </div> </div> <table style="float:left; width:100%;"> <tbody><tr> <td valign="top"> <p>Consideroma n'<a href="/wiki/Ansem" title="Ansem">ansem</a> E (ëd sòlit nen veuid). As dis <b>operassion</b> (<b>binaria</b>), o <b>laj ëd composission anterna</b> ansima a E qualsëssìa <a href="/wiki/Fonsion" title="Fonsion">fonsion</a> </p> <dl><dd><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 f:E\times E\to E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo>:</mo> <mi>E</mi> <mo>&#x00D7;<!-- × --></mo> <mi>E</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f:E\times E\to E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed45530f24d88a95abda3cfaabc7c259cda461dc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.997ex; height:2.509ex;" alt="{\displaystyle f:E\times E\to E}"></span>,</dd></dl> <p>andoa <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 E\times E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>&#x00D7;<!-- × --></mo> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E\times E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/438347ffb26c796eaac13d2e0cceb8a6a1ad1598" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.392ex; height:2.176ex;" alt="{\displaystyle E\times E}"></span> a l'é 'l <a href="/wiki/Prodot_cartesian" title="Prodot cartesian">prodot cartesian</a> d'E për chiel-midem. </p><p>L'operassion a assòcia donca a minca <a href="/wiki/Cobia_ordin%C3%A0" title="Cobia ordinà">cobia ordinà</a> <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 (a,b)\in E\times E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>&#x2208;<!-- ∈ --></mo> <mi>E</mi> <mo>&#x00D7;<!-- × --></mo> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (a,b)\in E\times E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f019d82458cab13d25aca3677a9352c1de3f38ad" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.303ex; height:2.843ex;" alt="{\displaystyle (a,b)\in E\times E}"></span> n'element <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 c=f(a,b)\in E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mo>=</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>&#x2208;<!-- ∈ --></mo> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c=f(a,b)\in E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/77ceb2595972195cb73a09bb7bad66e348ff38c8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.071ex; height:2.843ex;" alt="{\displaystyle c=f(a,b)\in E}"></span> ch'as ciama <i>arzultà</i> dl'operassion f aplicà a la cobia ordinà (a,b). </p><p>Si <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 \circ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2218;<!-- ∘ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span> a l'é n'operassion ansima a n'ansem E, soens as deuvra la <i>notassion mesan-a</i>, an ëscrivend <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 a\circ b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\circ b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6f270b24a930a6546b42f355ad905d2d7a26d4b3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.422ex; height:2.176ex;" alt="{\displaystyle a\circ b}"></span> pitòst che <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 \circ (a,b)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2218;<!-- ∘ --></mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ (a,b)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ce21c99c01b543f2cb1c67bc547d280dc4c6e4eb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.233ex; height:2.843ex;" alt="{\displaystyle \circ (a,b)}"></span>.<br /> An dotand n'ansem E ëd n'operassion <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 \circ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2218;<!-- ∘ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span> as oten n'esempi dë <a href="/wiki/Strutura_alg%C3%A9brica" title="Strutura algébrica">strutura algébrica</a> <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 (E,\circ )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>E</mi> <mo>,</mo> <mo>&#x2218;<!-- ∘ --></mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (E,\circ )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c18eab139527aa6c56b061c2759a65920692223" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.781ex; height:2.843ex;" alt="{\displaystyle (E,\circ )}"></span>. </p><p>Si <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 \circ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2218;<!-- ∘ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span> a l'é n'operassion an sl'ansem E e <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 A\subseteq E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>&#x2286;<!-- ⊆ --></mo> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A\subseteq E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f81750092c8e1d661741771fbafd707e7e6ab09" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.617ex; height:2.343ex;" alt="{\displaystyle A\subseteq E}"></span>, as dis che A a l'é <i>stàbil</i> rëspet a l'operassion si <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 \forall a,b\in A,a\circ b\in A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x2200;<!-- ∀ --></mi> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo>&#x2208;<!-- ∈ --></mo> <mi>A</mi> <mo>,</mo> <mi>a</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>b</mi> <mo>&#x2208;<!-- ∈ --></mo> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \forall a,b\in A,a\circ b\in A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d1eaf24de5207d4ae5bdd30aaa42822021d02b4a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:19.177ex; height:2.509ex;" alt="{\displaystyle \forall a,b\in A,a\circ b\in A}"></span>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading3"><h3 id="Esempi">Esempi</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=1" title="I soma dapress a modifiché la session: Esempi" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Esempi"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Ant la strutura <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 (\mathbb {N} ,+)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>,</mo> <mo>+</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\mathbb {N} ,+)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0072a6ee0ab943ce24dc44083bd60d50739a0b1f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.329ex; height:2.843ex;" alt="{\displaystyle (\mathbb {N} ,+)}"></span> l'ansem dij <a href="/wiki/N%C3%B9mer_cobi" title="Nùmer cobi">nùmer cobi</a> a l'é stàbil, përchè l'<a href="/w/index.php?title=Adission&amp;action=edit&amp;redlink=1" class="new" title="Adission (pàgina ch&#39;a esist pa)">adission</a> ëd doi nùmer cobi a l'é sempe 'n nùmer cobi. Nopà, l'ansem dij nùmer dëscobi a l'é nen ëstàbil.</li> <li>Ant la strutura <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 (\mathbb {N} ,\cdot )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>,</mo> <mo>&#x22C5;<!-- ⋅ --></mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\mathbb {N} ,\cdot )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7217221cfdf4bf46efa7dbf99a7e0f53195baa1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.168ex; height:2.843ex;" alt="{\displaystyle (\mathbb {N} ,\cdot )}"></span> l'ansem dij nùmer cobi e l'ansem dij nùmer dëscobi a son tuti doi stàbij, përchè la <a href="/w/index.php?title=Multiplicassion&amp;action=edit&amp;redlink=1" class="new" title="Multiplicassion (pàgina ch&#39;a esist pa)">multiplicassion</a> ëd doi nùmer cobi a l'é cobia e la multiplicassion ëd doi nùmer dëscobi a l'é dëscobia.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Propietà_dj'operassion"><span id="Propiet.C3.A0_dj.27operassion"></span>Propietà dj'operassion</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=2" title="I soma dapress a modifiché la session: Propietà dj&#039;operassion" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: Propietà dj&#039;operassion"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Consideroma n'operassion <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 \circ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2218;<!-- ∘ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span> definìa an sn'ansem E. A peul esse anteressant ëstudié vàire propietà che l'operassion a peul sodësfé. </p> <div class="mw-heading mw-heading3"><h3 id="Propietà_associativa"><span id="Propiet.C3.A0_associativa"></span>Propietà associativa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=3" title="I soma dapress a modifiché la session: Propietà associativa" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=3" title="Edit section&#039;s source code: Propietà associativa"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>As dis che l'operassion <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 \circ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2218;<!-- ∘ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span> a l'é <i>associativa</i> si </p> <dl><dd><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 \forall a,b,c\in E,(a\circ b)\circ c=a\circ (b\circ c)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x2200;<!-- ∀ --></mi> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo>,</mo> <mi>c</mi> <mo>&#x2208;<!-- ∈ --></mo> <mi>E</mi> <mo>,</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>&#x2218;<!-- ∘ --></mo> <mi>c</mi> <mo>=</mo> <mi>a</mi> <mo>&#x2218;<!-- ∘ --></mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>c</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \forall a,b,c\in E,(a\circ b)\circ c=a\circ (b\circ c)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ade00815cd1cee3c11873f384ec585336664c9dd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:34.209ex; height:2.843ex;" alt="{\displaystyle \forall a,b,c\in E,(a\circ b)\circ c=a\circ (b\circ c)}"></span>.</dd></dl> <p>Ant ës cas-sì, a-i é nen damanca ëd buté le paréntesi cand as fan d'aplicassion sucessive dl'operassion: i podoma bele mach ëscrive </p> <dl><dd><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 a\circ b\circ c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>b</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\circ b\circ c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/355133039a1f9bc91bc674d78e4e2b59dce486d5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.624ex; height:2.176ex;" alt="{\displaystyle a\circ b\circ c}"></span></dd></dl> <p>dagià che col ch'a sia l'órdin anté che j'operassion a son calcolà, l'arzultà a cambia pa. L'istess a resta vàlid s'i l'oma pì che un terno d'element. </p><p>Na strutura algébrica dotà ëd n'operassion associativa a l'é ciamà <a href="/wiki/Semistrop" title="Semistrop">semistrop</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Propietà_comutativa"><span id="Propiet.C3.A0_comutativa"></span>Propietà comutativa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=4" title="I soma dapress a modifiché la session: Propietà comutativa" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=4" title="Edit section&#039;s source code: Propietà comutativa"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>J'element a,b as diso <i>përmutàbij</i> si <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 a\circ b=b\circ a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>b</mi> <mo>=</mo> <mi>b</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\circ b=b\circ a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5aafdf8dde092f892242136e6e23df710a35c703" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:11.943ex; height:2.176ex;" alt="{\displaystyle a\circ b=b\circ a}"></span>.<br /> As dis che l'operassion <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 \circ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2218;<!-- ∘ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span> a l'é <i>comutativa</i> si </p> <dl><dd><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 \forall a,b\in E,a\circ b=b\circ a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x2200;<!-- ∀ --></mi> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo>&#x2208;<!-- ∈ --></mo> <mi>E</mi> <mo>,</mo> <mi>a</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>b</mi> <mo>=</mo> <mi>b</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \forall a,b\in E,a\circ b=b\circ a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/964e508d2a6bfa60bdd583e59da7eb183c67d393" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:22.147ex; height:2.509ex;" alt="{\displaystyle \forall a,b\in E,a\circ b=b\circ a}"></span>.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Element_neutral">Element neutral</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=5" title="I soma dapress a modifiché la session: Element neutral" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=5" title="Edit section&#039;s source code: Element neutral"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>N'element <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 u\in E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>u</mi> <mo>&#x2208;<!-- ∈ --></mo> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle u\in E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bf0244d21924fc6cf6f050679b6254db00a31631" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.946ex; height:2.176ex;" alt="{\displaystyle u\in E}"></span> a l'é dit <i>neutral</i> (o <i>idèntich</i>, o <i>indiferent</i>) për l'operassion <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 \circ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2218;<!-- ∘ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span> si </p> <dl><dd><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 \forall a\in E,u\circ a=a\circ u=a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x2200;<!-- ∀ --></mi> <mi>a</mi> <mo>&#x2208;<!-- ∈ --></mo> <mi>E</mi> <mo>,</mo> <mi>u</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>a</mi> <mo>=</mo> <mi>a</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>u</mi> <mo>=</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \forall a\in E,u\circ a=a\circ u=a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f9e67ade2f078ea588addad42cef6f9397119ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:25.108ex; height:2.509ex;" alt="{\displaystyle \forall a\in E,u\circ a=a\circ u=a}"></span>.</dd></dl> <p>Si la strutura <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 (E,\circ )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>E</mi> <mo>,</mo> <mo>&#x2218;<!-- ∘ --></mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (E,\circ )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c18eab139527aa6c56b061c2759a65920692223" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.781ex; height:2.843ex;" alt="{\displaystyle (E,\circ )}"></span> a l'ha n'element neutral, a-i në j'é mach un: an efet, si u e v a fusso tuti doi d'element neutraj, i l'avrìo </p> <dl><dd><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 u=u\circ v=v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>u</mi> <mo>=</mo> <mi>u</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>v</mi> <mo>=</mo> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle u=u\circ v=v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99eeef9b960cb88f401135697ce2cd9036103f06" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:13.306ex; height:1.676ex;" alt="{\displaystyle u=u\circ v=v}"></span>.</dd></dl> <p>Notassion comun-e për andiché l'element neutral an na strutura a son 1 (o <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 1_{E}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>E</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1_{E}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/040a7a7c656b1c3cbdce6fed5d36908cfe695367" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.65ex; height:2.509ex;" alt="{\displaystyle 1_{E}}"></span>, ciamà <i>un</i>) cand l'operassion a l'é denotà ëd fasson multiplicativa <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 \cdot }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x22C5;<!-- ⋅ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cdot }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba2c023bad1bd39ed49080f729cbf26bc448c9ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.439ex; margin-bottom: -0.61ex; width:0.647ex; height:1.176ex;" alt="{\displaystyle \cdot }"></span>, opura 0 (o <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 0_{E}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>E</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0_{E}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1ccf87ed34183055a3d7001822d238ccbbab983a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.65ex; height:2.509ex;" alt="{\displaystyle 0_{E}}"></span>, ciamà <i>zero</i>) si l'operassion a l'é scrivùa ëd fasson aditiva +. </p> <div class="mw-heading mw-heading3"><h3 id="Element_surbent">Element surbent</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=6" title="I soma dapress a modifiché la session: Element surbent" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=6" title="Edit section&#039;s source code: Element surbent"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>N'element <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 u\in E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>u</mi> <mo>&#x2208;<!-- ∈ --></mo> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle u\in E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bf0244d21924fc6cf6f050679b6254db00a31631" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.946ex; height:2.176ex;" alt="{\displaystyle u\in E}"></span> a l'é sit <i>surbent</i> për l'operassion <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 \circ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2218;<!-- ∘ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span> si </p> <dl><dd><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 \forall a\in E,u\circ a=a\circ u=u}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x2200;<!-- ∀ --></mi> <mi>a</mi> <mo>&#x2208;<!-- ∈ --></mo> <mi>E</mi> <mo>,</mo> <mi>u</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>a</mi> <mo>=</mo> <mi>a</mi> <mo>&#x2218;<!-- ∘ --></mo> <mi>u</mi> <mo>=</mo> <mi>u</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \forall a\in E,u\circ a=a\circ u=u}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b337040e6bda0b683b9baba0c95e1d6a6b5d088c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:25.208ex; height:2.509ex;" alt="{\displaystyle \forall a\in E,u\circ a=a\circ u=u}"></span>.</dd></dl> <p>Esempi d'element surbent a son 0 për la multiplicassion e <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 \emptyset }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x2205;<!-- ∅ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \emptyset }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6af50205f42bb2ec3c666b7b847d2c7f96e464c7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.162ex; height:2.509ex;" alt="{\displaystyle \emptyset }"></span> për l'antërsession. </p> <div class="mw-heading mw-heading2"><h2 id="Propietà_ch'a_ìmplico_vàire_operassion"><span id="Propiet.C3.A0_ch.27a_.C3.ACmplico_v.C3.A0ire_operassion"></span>Propietà ch'a ìmplico vàire operassion</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=7" title="I soma dapress a modifiché la session: Propietà ch&#039;a ìmplico vàire operassion" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=7" title="Edit section&#039;s source code: Propietà ch&#039;a ìmplico vàire operassion"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A-i é ëd propietà anteressante ch'a rësguardo vàire operassion considerà ansema. </p><p>Ch'as consìdero doe operassion <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 \circ _{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ _{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59d99143cc5359509a4d0c7174513a47d3e4a4e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.217ex; height:2.009ex;" alt="{\displaystyle \circ _{1}}"></span> e <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 \circ _{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ _{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2cbcb03604df0efb7b70e6dc778f127e9bc9ae2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.217ex; height:2.009ex;" alt="{\displaystyle \circ _{2}}"></span> tute doe definìe ansima a E. </p> <div class="mw-heading mw-heading3"><h3 id="Distributività"><span id="Distributivit.C3.A0"></span>Distributività</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=8" title="I soma dapress a modifiché la session: Distributività" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=8" title="Edit section&#039;s source code: Distributività"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>As dis che <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 \circ _{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ _{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59d99143cc5359509a4d0c7174513a47d3e4a4e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.217ex; height:2.009ex;" alt="{\displaystyle \circ _{1}}"></span> a l'é <i>distributiva</i> rëspet a <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 \circ _{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ _{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2cbcb03604df0efb7b70e6dc778f127e9bc9ae2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.217ex; height:2.009ex;" alt="{\displaystyle \circ _{2}}"></span> si, për tuti j'<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 a,b,c\in E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo>,</mo> <mi>c</mi> <mo>&#x2208;<!-- ∈ --></mo> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a,b,c\in E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/56279aae478dd087b31f4ba85b4f1673cc45d128" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.918ex; height:2.509ex;" alt="{\displaystyle a,b,c\in E}"></span>, </p> <dl><dd><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 a\circ _{1}(b\circ _{2}c)=(a\circ _{1}b)\circ _{2}(a\circ _{1}c)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">(</mo> <mi>b</mi> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mi>c</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mi>a</mi> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mi>b</mi> <mo stretchy="false">)</mo> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">(</mo> <mi>a</mi> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mi>c</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\circ _{1}(b\circ _{2}c)=(a\circ _{1}b)\circ _{2}(a\circ _{1}c)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6a429e586aad6a1f651497e6ab8bb298c900a538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:32.469ex; height:2.843ex;" alt="{\displaystyle a\circ _{1}(b\circ _{2}c)=(a\circ _{1}b)\circ _{2}(a\circ _{1}c)}"></span></dd></dl> <p>e </p> <dl><dd><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 (a\circ _{2}b)\circ _{1}c=(a\circ _{1}c)\circ _{2}(b\circ _{1}c)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>a</mi> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mi>b</mi> <mo stretchy="false">)</mo> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mi>c</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mi>a</mi> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mi>c</mi> <mo stretchy="false">)</mo> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">(</mo> <mi>b</mi> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mi>c</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (a\circ _{2}b)\circ _{1}c=(a\circ _{1}c)\circ _{2}(b\circ _{1}c)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99ffd7a85fcaa0ae65c67ec184b2adc555736f2d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:32.246ex; height:2.843ex;" alt="{\displaystyle (a\circ _{2}b)\circ _{1}c=(a\circ _{1}c)\circ _{2}(b\circ _{1}c)}"></span>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Morfism">Morfism</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=9" title="I soma dapress a modifiché la session: Morfism" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=9" title="Edit section&#039;s source code: Morfism"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Consideroma n'operassion <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 \circ _{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ _{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59d99143cc5359509a4d0c7174513a47d3e4a4e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.217ex; height:2.009ex;" alt="{\displaystyle \circ _{1}}"></span> ansima a n'ansem <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 A_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bc2435b217c1a0f46f8a517ffa225c6f9440e81" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.797ex; height:2.509ex;" alt="{\displaystyle A_{1}}"></span> e n'operassion <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 \circ _{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \circ _{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2cbcb03604df0efb7b70e6dc778f127e9bc9ae2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.217ex; height:2.009ex;" alt="{\displaystyle \circ _{2}}"></span> ansima a n'ansem <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 A_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ec73b8bc9abc3efb934f5a6ec2803713771f4bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.797ex; height:2.509ex;" alt="{\displaystyle A_{2}}"></span>. Na fonsion <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 \mu :A_{1}\to A_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03BC;<!-- μ --></mi> <mo>:</mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">&#x2192;<!-- → --></mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu :A_{1}\to A_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bbe1e97cd50d39c11723380850b7009d4071bf0f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.548ex; height:2.676ex;" alt="{\displaystyle \mu :A_{1}\to A_{2}}"></span> a l'é dita <i>morfism</i> ëd le struture <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 (A_{1},\circ _{1}),(A_{2},\circ _{2})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>,</mo> <mo stretchy="false">(</mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (A_{1},\circ _{1}),(A_{2},\circ _{2})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/91c7d4c843dd86e51ec399d83fa3c42a53e4eb1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.748ex; height:2.843ex;" alt="{\displaystyle (A_{1},\circ _{1}),(A_{2},\circ _{2})}"></span> s'a l'é compatìbil con j'operassion, visadì </p> <dl><dd><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 \forall a,b\in A_{1},\mu (a\circ _{1}b)=\mu (a)\circ _{2}\mu (b)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x2200;<!-- ∀ --></mi> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo>&#x2208;<!-- ∈ --></mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <mi>&#x03BC;<!-- μ --></mi> <mo stretchy="false">(</mo> <mi>a</mi> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mi>b</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>&#x03BC;<!-- μ --></mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo stretchy="false">)</mo> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mi>&#x03BC;<!-- μ --></mi> <mo stretchy="false">(</mo> <mi>b</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \forall a,b\in A_{1},\mu (a\circ _{1}b)=\mu (a)\circ _{2}\mu (b)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e78c8d1cba468877f91e4c12c51ccb0927c96ada" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:34.91ex; height:2.843ex;" alt="{\displaystyle \forall a,b\in A_{1},\mu (a\circ _{1}b)=\mu (a)\circ _{2}\mu (b)}"></span>.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Esempi_2">Esempi</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=10" title="I soma dapress a modifiché la session: Esempi" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=10" title="Edit section&#039;s source code: Esempi"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>La fonsion</li></ul> <dl><dd><dl><dd><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 \mu :\mathbb {N} \to \mathbb {N} ,\mu (x)=2x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03BC;<!-- μ --></mi> <mo>:</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo stretchy="false">&#x2192;<!-- → --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>,</mo> <mi>&#x03BC;<!-- μ --></mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>2</mn> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu :\mathbb {N} \to \mathbb {N} ,\mu (x)=2x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e6f9cefa879153372ee8980583239677f8dfbbdc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.474ex; height:2.843ex;" alt="{\displaystyle \mu :\mathbb {N} \to \mathbb {N} ,\mu (x)=2x}"></span></dd></dl></dd> <dd>a l'é 'n morfism antra le struture <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 (\mathbb {N} ,+)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>,</mo> <mo>+</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\mathbb {N} ,+)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0072a6ee0ab943ce24dc44083bd60d50739a0b1f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.329ex; height:2.843ex;" alt="{\displaystyle (\mathbb {N} ,+)}"></span> e <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 (\mathbb {N} ,+)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>,</mo> <mo>+</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\mathbb {N} ,+)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0072a6ee0ab943ce24dc44083bd60d50739a0b1f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.329ex; height:2.843ex;" alt="{\displaystyle (\mathbb {N} ,+)}"></span>, ma nen antra le struture <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 (\mathbb {N} ,\cdot )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>,</mo> <mo>&#x22C5;<!-- ⋅ --></mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\mathbb {N} ,\cdot )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7217221cfdf4bf46efa7dbf99a7e0f53195baa1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.168ex; height:2.843ex;" alt="{\displaystyle (\mathbb {N} ,\cdot )}"></span> e <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 (\mathbb {N} ,\cdot )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>,</mo> <mo>&#x22C5;<!-- ⋅ --></mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\mathbb {N} ,\cdot )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7217221cfdf4bf46efa7dbf99a7e0f53195baa1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.168ex; height:2.843ex;" alt="{\displaystyle (\mathbb {N} ,\cdot )}"></span>.</dd></dl> <ul><li>La <a href="/wiki/Fonsion_esponensial" title="Fonsion esponensial">fonsion esponensial</a></li></ul> <dl><dd><dl><dd><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 x\mapsto e^{x}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">&#x21A6;<!-- ↦ --></mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\mapsto e^{x}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1ee414f477283eac0138240ce73ee26f0f8dc63b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.2ex; height:2.343ex;" alt="{\displaystyle x\mapsto e^{x}}"></span></dd></dl></dd> <dd>a l'é un morfism antra le struture <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 (\mathbb {R} ,+)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mo>,</mo> <mo>+</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\mathbb {R} ,+)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5b33b2c9358cbd7bad20aa0b18651d3bba582c09" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.329ex; height:2.843ex;" alt="{\displaystyle (\mathbb {R} ,+)}"></span> e <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 (\mathbb {R} ,\cdot )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mo>,</mo> <mo>&#x22C5;<!-- ⋅ --></mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\mathbb {R} ,\cdot )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9423a7b192189f13002fcde54b8ce80e2b9c9006" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.168ex; height:2.843ex;" alt="{\displaystyle (\mathbb {R} ,\cdot )}"></span>.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Chèich_propietà_dij_morfism"><span id="Ch.C3.A8ich_propiet.C3.A0_dij_morfism"></span>Chèich propietà dij morfism</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operassion&amp;veaction=edit&amp;section=11" title="I soma dapress a modifiché la session: Chèich propietà dij morfism" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Operassion&amp;action=edit&amp;section=11" title="Edit section&#039;s source code: Chèich propietà dij morfism"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ch'as consìdera un morfism <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 \mu :A_{1}\to A_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03BC;<!-- μ --></mi> <mo>:</mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">&#x2192;<!-- → --></mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu :A_{1}\to A_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bbe1e97cd50d39c11723380850b7009d4071bf0f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.548ex; height:2.676ex;" alt="{\displaystyle \mu :A_{1}\to A_{2}}"></span> antra le struture <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 (A_{1},\circ _{1}),(A_{2},\circ _{2})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>,</mo> <mo stretchy="false">(</mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mo>&#x2218;<!-- ∘ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (A_{1},\circ _{1}),(A_{2},\circ _{2})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/91c7d4c843dd86e51ec399d83fa3c42a53e4eb1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.748ex; height:2.843ex;" alt="{\displaystyle (A_{1},\circ _{1}),(A_{2},\circ _{2})}"></span>. </p> <ul><li>La plancia <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 \mu (A_{1})\subseteq A_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03BC;<!-- μ --></mi> <mo stretchy="false">(</mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>&#x2286;<!-- ⊆ --></mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu (A_{1})\subseteq A_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3024cfc70a1224ecf5c34629c615b3b67d0513da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.904ex; height:2.843ex;" alt="{\displaystyle \mu (A_{1})\subseteq A_{2}}"></span> a l'é 'n sot-ansem ëstàbil d'<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 A_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ec73b8bc9abc3efb934f5a6ec2803713771f4bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.797ex; height:2.509ex;" alt="{\displaystyle A_{2}}"></span>.</li> <li>Si x,y a son element përmutàbij d'<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 A_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bc2435b217c1a0f46f8a517ffa225c6f9440e81" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.797ex; height:2.509ex;" alt="{\displaystyle A_{1}}"></span>, antlora μ(x),μ(y) a son element përmutàbij d'<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 A_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ec73b8bc9abc3efb934f5a6ec2803713771f4bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.797ex; height:2.509ex;" alt="{\displaystyle A_{2}}"></span>.</li> <li>Si u a l'é element neutral d'<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 A_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bc2435b217c1a0f46f8a517ffa225c6f9440e81" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.797ex; height:2.509ex;" alt="{\displaystyle A_{1}}"></span>, antlora μ(u) a l'é element neutral d'<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 A_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ec73b8bc9abc3efb934f5a6ec2803713771f4bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.797ex; height:2.509ex;" alt="{\displaystyle A_{2}}"></span>.</li></ul> </td> <td class="nomobile" style="background: #C0E1FF; width:152px; font-size: 85%;" align="right" valign="top"> <div class="nomobile"> <div style="border:solid grey 1px; margin: 1px; padding: 2px;"> <table cellpadding="1" style="font-size:95%" align="center"> <tbody><tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:Lese_%C3%ABl_piemont%C3%A8is" title="Aiuto"><img alt="Aiuto" src="//upload.wikimedia.org/wikipedia/pms/thumb/0/09/Italiancurt.png/30px-Italiancurt.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/0/09/Italiancurt.png/45px-Italiancurt.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/0/09/Italiancurt.png/60px-Italiancurt.png 2x" data-file-width="172" data-file-height="172" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:Lese_%C3%ABl_piemont%C3%A8is" title="Wikipedia:Lese ël piemontèis">Aiuto per<br />la lettura</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:Lese_%C3%ABl_piemont%C3%A8is_version_spagneula" title="Ayuda"><img alt="Ayuda" src="//upload.wikimedia.org/wikipedia/pms/thumb/0/03/Spagneulcurt.png/30px-Spagneulcurt.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/0/03/Spagneulcurt.png/45px-Spagneulcurt.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/0/03/Spagneulcurt.png/60px-Spagneulcurt.png 2x" data-file-width="172" data-file-height="172" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:Lese_%C3%ABl_piemont%C3%A8is_version_spagneula" title="Wikipedia:Lese ël piemontèis version spagneula">Ayuda para<br />la lectura</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:Reading_Piedmontese_English_version" title="Help"><img alt="Help" src="//upload.wikimedia.org/wikipedia/pms/thumb/c/cc/Angl%C3%A8iscurt.png/30px-Angl%C3%A8iscurt.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/c/cc/Angl%C3%A8iscurt.png/45px-Angl%C3%A8iscurt.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/c/cc/Angl%C3%A8iscurt.png/60px-Angl%C3%A8iscurt.png 2x" data-file-width="172" data-file-height="172" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:Reading_Piedmontese_English_version" title="Wikipedia:Reading Piedmontese English version">Help for<br />Reading</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:Pi%C3%B2la" title="Rintré ant la Piòla"><img alt="Rintré ant la Piòla" src="//upload.wikimedia.org/wikipedia/pms/thumb/0/0c/Blasonpms.png/30px-Blasonpms.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/0/0c/Blasonpms.png/45px-Blasonpms.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/0/0c/Blasonpms.png/60px-Blasonpms.png 2x" data-file-width="137" data-file-height="136" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:Pi%C3%B2la" title="Wikipedia:Piòla">Rintré ant<br /> la Piòla</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:Aministrator" title="Contata j&#39;Aministrator"><img alt="Contata j&#39;Aministrator" src="//upload.wikimedia.org/wikipedia/pms/thumb/e/e7/Tel%C3%A8fonAmnistr.png/30px-Tel%C3%A8fonAmnistr.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/e/e7/Tel%C3%A8fonAmnistr.png/45px-Tel%C3%A8fonAmnistr.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/e/e7/Tel%C3%A8fonAmnistr.png/60px-Tel%C3%A8fonAmnistr.png 2x" data-file-width="136" data-file-height="136" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:Aministrator" title="Wikipedia:Aministrator">Contaté<br /> j'Aministrator</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:L%C3%ACber_che_as_consejo" title="Lìber për Amprende"><img alt="Lìber për Amprende" src="//upload.wikimedia.org/wikipedia/pms/thumb/2/20/StageraL%C3%ACber.jpg/30px-StageraL%C3%ACber.jpg" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/2/20/StageraL%C3%ACber.jpg/45px-StageraL%C3%ACber.jpg 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/2/20/StageraL%C3%ACber.jpg/60px-StageraL%C3%ACber.jpg 2x" data-file-width="135" data-file-height="136" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:L%C3%ACber_che_as_consejo" title="Wikipedia:Lìber che as consejo">Lìber për<br /> Amprende</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:Criteri_p%C3%ABr_la_coression_ortogr%C3%A0fica" title="Coression Ortogràfica"><img alt="Coression Ortogràfica" src="//upload.wikimedia.org/wikipedia/pms/thumb/e/ec/Coression.png/30px-Coression.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/e/ec/Coression.png/45px-Coression.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/e/ec/Coression.png/60px-Coression.png 2x" data-file-width="136" data-file-height="135" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:Criteri_p%C3%ABr_la_coression_ortogr%C3%A0fica" title="Wikipedia:Criteri për la coression ortogràfica">Coression<br /> ortogràfica</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:Tastadura_piemont%C3%A8isa" title="Tastadura Piemontèisa"><img alt="Tastadura Piemontèisa" src="//upload.wikimedia.org/wikipedia/pms/thumb/b/b6/Tastadura.png/30px-Tastadura.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/b/b6/Tastadura.png/45px-Tastadura.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/b/b6/Tastadura.png/60px-Tastadura.png 2x" data-file-width="136" data-file-height="136" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:Tastadura_piemont%C3%A8isa" title="Wikipedia:Tastadura piemontèisa">Tastadura<br /> piemontèisa</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Categor%C3%ACa:Proget" title="Portaj e 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//upload.wikimedia.org/wikipedia/pms/thumb/5/57/Wikibalon.png/60px-Wikibalon.png 2x" data-file-width="136" data-file-height="136" /></a></span> </td> <td><b><a href="/wiki/Agiut:Amprende_a_travaj%C3%A9_da_zero" title="Agiut:Amprende a travajé da zero">Agiut pr'ij<br />Contributor</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Categor%C3%ACa:Figure_da_but%C3%A9" title="Travajòt belfè"><img alt="Travajòt belfè" src="//upload.wikimedia.org/wikipedia/pms/thumb/e/e8/Ciav_e_tornavis.gif/30px-Ciav_e_tornavis.gif" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/e/e8/Ciav_e_tornavis.gif/45px-Ciav_e_tornavis.gif 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/e/e8/Ciav_e_tornavis.gif/60px-Ciav_e_tornavis.gif 2x" data-file-width="136" data-file-height="136" /></a></span> </td> <td><b><a href="/wiki/Categor%C3%ACa:Figure_da_but%C3%A9" title="Categorìa:Figure da buté">Travajòt<br />sempi</a></b> 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