@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q17102802 rdfs:label "псэўдаколца"@be-tarask,
        "Псевдопръстен"@bg,
        "pseudoanell"@ca,
        "Ring"@de,
        "rng"@en,
        "pseŭdoringo"@eo,
        "pseudoanillo"@es,
        "رونگ (جبر)"@fa,
        "Rngas"@fi,
        "pseudo-anneau"@fr,
        "rng"@gl,
        "חוג בלי יחידה"@he,
        "Pseudoanello"@ia,
        "Rng (aljabar)"@id,
        "擬環"@ja,
        "유사환"@ko,
        "ထပ်တူရမဲ့ကွင်း"@my,
        "psevdoring"@nn,
        "rng"@pt,
        "rng"@pt-br,
        "pseudoinel"@ro,
        "псевдокольцо"@ru,
        "psevdokolobar"@sl,
        "伪环"@zh ;
    schema1:dateModified "2026-09-08T10:48:58+00:00"^^xsd:dateTime ;
    schema1:description "anell sense l'element neutre de la multiplicació"@ca,
        "algebraic structure similar to ring but not necessarily having a multiplicative identity"@en,
        "anneau qui peut ne pas posséder d'unité pour la multiplication"@fr,
        "anel sen identidade multiplicativa"@gl,
        "곱셈 항등원을 가질 필요가 없는 환"@ko,
        "ring utan multiplikativ identitet"@nn,
        "anel sem uma identidade multiplicativa"@pt,
        "anel sem uma identidade multiplicativa"@pt-br,
        "inel, dar fără a fi necesar să conțină elementul neutru multiplicativ"@ro,
        "кольцо без мультипликативной единицы"@ru,
        "kolobar, vendar ne nujno z multiplikativno identiteto"@sl ;
    schema1:version 2542201197 ;
    wikibase:identifiers 4 ;
    wikibase:sitelinks 12 ;
    wikibase:statements 17 ;
    skos:altLabel "anell no unitari"@ca,
        "non-unital ring"@en,
        "nonunital ring"@en,
        "pseudo-ring"@en,
        "ring"@en,
        "ringo sen unuo"@eo,
        "anillo no unitario"@es,
        "anel non unitario"@gl,
        "pseudoanel"@gl,
        "חוג ללא יחידה"@he,
        "pseudoring"@nn,
        "ring"@nn,
        "anel não unital"@pt,
        "pseudoanel"@pt,
        "anel não unital"@pt-br,
        "pseudoanel"@pt-br,
        "неунитальное кольцо"@ru,
        "neenotski kolobar"@sl ;
    p:P1889 wds:Q17102802-9e96e4f5-4b1b-93bf-a570-ce09656738f7,
        wds:Q17102802-e0f7431f-4a3a-bd48-4a94-8fb39b9d46b8 ;
    p:P2534 wds:Q17102802-D95930E8-0CEF-482C-BCC2-8BF8DFFFF983 ;
    p:P2579 wds:Q17102802-39a5a1da-4c04-bb11-d262-7e70aafe4685 ;
    p:P279 wds:Q17102802-cb7b06d9-4ec6-ca05-986c-7709f9a639ad ;
    p:P361 wds:Q17102802-863cb9ca-4d7b-37cf-7082-e2910181379b ;
    p:P4215 wds:Q17102802-5db44aae-47ca-38c9-3851-82659447d824 ;
    p:P527 wds:Q17102802-486CA8C2-43C4-45EC-8F55-49A0A00EA3E3,
        wds:Q17102802-7369884F-6FB1-43A1-9D84-D33631C003E3 ;
    p:P646 wds:Q17102802-0EA66CFF-F090-4902-9261-FFFE720065C3 ;
    p:P6781 wds:Q17102802-facadfa5-4bc3-0137-bfc1-2c0c97a4332e ;
    p:P7235 wds:Q17102802-0BF8F232-3CE3-4E20-AA3B-A9C2DEE0083A,
        wds:Q17102802-6C752AB6-C244-428D-896C-F993D91847FE,
        wds:Q17102802-A9F12738-530E-48B7-8212-DB2B29C563B9,
        wds:Q17102802-AA9D7D44-2F28-4B46-8ADC-81E4E47C4BF5,
        wds:Q17102802-BAA9DFF3-7F06-407C-ACF4-4D60A84303F3 ;
    p:P8417 wds:Q17102802-64008c6f-478a-95ce-3b4a-90fff1138779 ;
    wdt:P1889 wd:Q161172,
        wd:Q26806569 ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\" rowspacing=\"3pt\"><mtr><mtd><mo stretchy=\"false\">(</mo><mi>r</mi><mo stretchy=\"false\">+</mo><mi>s</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">+</mo><mi>t</mi></mtd><mtd><mo stretchy=\"false\">=</mo><mi>r</mi><mo stretchy=\"false\">+</mo><mo stretchy=\"false\">(</mo><mi>s</mi><mo stretchy=\"false\">+</mo><mi>t</mi><mo stretchy=\"false\">)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo stretchy=\"false\">+</mo><mi>s</mi></mtd><mtd><mo stretchy=\"false\">=</mo><mi>s</mi><mo stretchy=\"false\">+</mo><mi>r</mi></mtd></mtr><mtr><mtd><mi>r</mi><mo stretchy=\"false\">+</mo><mn>0</mn></mtd><mtd><mo stretchy=\"false\">=</mo><mi>r</mi></mtd></mtr><mtr><mtd><mi>r</mi><mo stretchy=\"false\">+</mo><mo stretchy=\"false\">(</mo><mo stretchy=\"false\">&#x2212;</mo><mi>r</mi><mo stretchy=\"false\">)</mo></mtd><mtd><mo stretchy=\"false\">=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mo stretchy=\"false\">(</mo><mi>r</mi><mi>s</mi><mo stretchy=\"false\">)</mo><mi>t</mi></mtd><mtd><mo stretchy=\"false\">=</mo><mi>r</mi><mo stretchy=\"false\">(</mo><mi>s</mi><mi>t</mi><mo stretchy=\"false\">)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo stretchy=\"false\">(</mo><mi>s</mi><mo stretchy=\"false\">+</mo><mi>t</mi><mo stretchy=\"false\">)</mo></mtd><mtd><mo stretchy=\"false\">=</mo><mi>r</mi><mi>s</mi><mo stretchy=\"false\">+</mo><mi>r</mi><mi>t</mi></mtd></mtr><mtr><mtd><mo stretchy=\"false\">(</mo><mi>r</mi><mo stretchy=\"false\">+</mo><mi>s</mi><mo stretchy=\"false\">)</mo><mi>t</mi></mtd><mtd><mo stretchy=\"false\">=</mo><mi>r</mi><mi>t</mi><mo stretchy=\"false\">+</mo><mi>s</mi><mi>t</mi></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2579 wd:Q1208658 ;
    wdt:P279 wd:Q121075789 ;
    wdt:P361 wd:Q26806569 ;
    wdt:P4215 "nonunital ring" ;
    wdt:P527 wd:Q181296,
        wd:Q207348 ;
    wdt:P646 "/m/099rzr" ;
    wdt:P6781 "Definition:Ring_(Abstract_Algebra)" ;
    wdt:P7235 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>r</mi><mo stretchy=\"false\">+</mo><mi>s</mi><mo stretchy=\"false\">=</mo><mi>s</mi><mo stretchy=\"false\">+</mo><mi>r</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mn>0</mn></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mo stretchy=\"false\">&#x2212;</mo><mi>r</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\" rowspacing=\"3pt\"><mtr><mtd><mi>r</mi><mo stretchy=\"false\">(</mo><mi>s</mi><mo stretchy=\"false\">+</mo><mi>t</mi><mo stretchy=\"false\">)</mo></mtd><mtd><mo stretchy=\"false\">=</mo><mi>r</mi><mi>s</mi><mo stretchy=\"false\">+</mo><mi>r</mi><mi>t</mi></mtd></mtr><mtr><mtd><mo stretchy=\"false\">(</mo><mi>r</mi><mo stretchy=\"false\">+</mo><mi>s</mi><mo stretchy=\"false\">)</mo><mi>t</mi></mtd><mtd><mo stretchy=\"false\">=</mo><mi>r</mi><mi>t</mi><mo stretchy=\"false\">+</mo><mi>s</mi><mi>t</mi></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\" rowspacing=\"3pt\"><mtr><mtd><mo stretchy=\"false\">(</mo><mi>r</mi><mo stretchy=\"false\">+</mo><mi>s</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">+</mo><mi>t</mi></mtd><mtd><mo stretchy=\"false\">=</mo><mi>r</mi><mo stretchy=\"false\">+</mo><mo stretchy=\"false\">(</mo><mi>s</mi><mo stretchy=\"false\">+</mo><mi>t</mi><mo stretchy=\"false\">)</mo></mtd></mtr><mtr><mtd><mo stretchy=\"false\">(</mo><mi>r</mi><mi>s</mi><mo stretchy=\"false\">)</mo><mi>t</mi></mtd><mtd><mo stretchy=\"false\">=</mo><mi>r</mi><mo stretchy=\"false\">(</mo><mi>s</mi><mi>t</mi><mo stretchy=\"false\">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P8417 "Associative_ring" .

