@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 wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q208237 rdfs:label "وحدية"@ar,
        "Monoid"@az,
        "маноід"@be-tarask,
        "monoid"@bs,
        "monoide"@ca,
        "monoid"@cs,
        "Monoid"@de,
        "Μονοειδές"@el,
        "monoid"@en,
        "monoido"@eo,
        "monoide"@es,
        "Monoid"@et,
        "مونوئید"@fa,
        "monoidi"@fi,
        "monoïde"@fr,
        "monoide"@gl,
        "מונואיד"@he,
        "Monoid"@hr,
        "monoid"@hu,
        "Monoide"@ia,
        "monoid"@id,
        "Einungur"@is,
        "monoide"@it,
        "モノイド"@ja,
        "모노이드"@ko,
        "monoides"@la,
        "Monoid"@lb,
        "Monoidas"@lt,
        "моноид"@mk,
        "Monoid"@ms,
        "မိုနွိုက်"@my,
        "monoid"@nb,
        "monoïde"@nl,
        "monoide"@nn,
        "Monoïde"@oc,
        "monoid"@pl,
        "Monòid"@pms,
        "monoide"@pt,
        "monoide"@pt-br,
        "Monoid"@ro,
        "моноид"@ru,
        "Monoid"@sh,
        "monoid"@sl,
        "моноид"@sr,
        "моноид"@sr-ec,
        "monoid"@sr-el,
        "monoid"@sv,
        "ஒற்றைக்குலம்"@ta,
        "โมนอยด์"@th,
        "Birlik"@tr,
        "моноїд"@uk,
        "Monoid"@vi,
        "מאנאאיד"@yi,
        "幺半羣"@yue,
        "幺半群"@zh,
        "幺半群"@zh-cn,
        "幺半群"@zh-hans,
        "么半群"@zh-hant,
        "么半群"@zh-hk,
        "幺半群"@zh-sg,
        "么半群"@zh-tw ;
    schema1:dateModified "2026-09-23T19:59:07+00:00"^^xsd:dateTime ;
    schema1:description "альгебраічная структура"@be-tarask,
        "estructura algebraica amb una operació associativa i un element d'identitat"@ca,
        "algebraische Struktur mit einer assoziativen binären Operation und einem neutralen Element"@de,
        "algebraic structure with an associative operation and an identity element"@en,
        "algebra strukturo kun asocia interna duvalenta operacio kaj neŭtrala elemento"@eo,
        "estructura algebraica"@es,
        "liitännäisen laskutoimituksen ja neutraalialkion sisältämä algebrallinen rakenne"@fi,
        "magma dont la loi de composition interne est associative et comporte un élément neutre"@fr,
        "estrutura alxébrica cunha operación asociativa e un elemento identidade"@gl,
        "algebrai struktúra egy asszociatív binér művelettel és egy egységelemmel"@hu,
        "struktur aljabar dengan operasi asosiatif dan elemen identitas"@id,
        "struttura algebrica con un'operazione binaria associativa e un elemento neutro"@it,
        "연관 연산 및 항등 요소가 있는 대수 구조"@ko,
        "algeebresch Struktur"@lb,
        "struktura algebraiczna z łącznym działaniem dwuargumentowym i elementem neutralnym"@pl,
        "estrutura algébrica com uma operação associativa e um elemento identidade"@pt,
        "estrutura algébrica com uma operação associativa e um elemento identidade"@pt-br,
        "алгебраическая система с ассоциативной бинарной операцией и с нейтральным элементом относительно этой операции"@ru,
        "אלגעברעאישע סטרוקטור מיט אן אסאציאטיווער בינארישער אפעראציע און א נייטראלן עלעמענט"@yi ;
    schema1:version 2548906665 ;
    wikibase:identifiers 21 ;
    wikibase:sitelinks 50 ;
    wikibase:statements 33 ;
    skos:altLabel "مونوئيد"@ar,
        "وحيد العملية"@ar,
        "semigrup"@ca,
        "Monojdo"@eo,
        "asocia magmo kun neŭtrala elemento"@eo,
        "duongrupo kun neŭtrala elemento"@eo,
        "semigrupo kun neŭtrala elemento"@eo,
        "تکوار"@fa,
        "Catégorie des monoïdes"@fr,
        "Monoide"@fr,
        "מונויד"@he,
        "egységelemes félcsoport"@hu,
        "neutrális elemes félcsoport"@hu,
        "semleges elemes félcsoport"@hu,
        "homomorfisme"@id,
        "semigrup"@id,
        "teori kategori"@id,
        "Hálfgrúpa með hlutleysu"@is,
        "一対象圏"@ja,
        "単一対象圏"@ja,
        "単対象圏"@ja,
        "Monoide"@nl,
        "monóide"@pt,
        "Abelsk monoid"@sv,
        "Kommutativ monoid"@sv,
        "அலகுள்ள அரைக்குலம்"@ta,
        "Monoid"@tr,
        "么半群"@zh,
        "交换幺半群"@zh,
        "独异点"@zh ;
    p:P10017 wds:Q208237-b30b235d-429a-4679-af44-e1cef4b3096f ;
    p:P10037 wds:Q208237-8989b6d8-4905-3ee3-24fe-f5c92ce9450b ;
    p:P10283 wds:Q208237-D44F4CB9-9C3F-45DE-9789-74875DC1A46D ;
    p:P10376 wds:Q208237-80bccea2-4950-1ce7-86a0-2a116c019584 ;
    p:P12385 wds:Q208237-3d529d69-f138-44e4-a3ac-df3867d1d432 ;
    p:P12888 wds:Q208237-FD4E6371-B2B3-497F-ABF6-E13B6A4EF335 ;
    p:P1296 wds:Q208237-669EFD03-BD7A-48B7-B790-432A1452A3CC ;
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        wds:Q208237-c1702637-469e-7a1e-d086-fff903b5577b,
        wds:Q208237-fe3b2cf6-497f-f8cc-be2b-556f2b3ff2ed ;
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        wds:Q208237-13d3380e-4b9c-2b36-dad0-9d7c3e3c52cf,
        wds:Q208237-1594ddb9-4930-63c7-ee66-abfe76007c85,
        wds:Q208237-99f7fa43-4bd9-1b53-9563-d91015e615ce ;
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    p:P2888 wds:Q208237-8D9425A2-A7E1-4DCC-8A88-3667F33B0E32 ;
    p:P3365 wds:Q208237-aaca4d3c-4b7f-bfc6-227f-5de542f1e703 ;
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    p:P3847 wds:Q208237-c44eb1cc-4929-909d-29f3-cb4dd9f8c1ce ;
    p:P4215 wds:Q208237-26f1d7bf-4aa5-6aa5-fe7b-65da99c0d517 ;
    p:P5844 wds:Q208237-072a962d-4b34-8df6-bd03-18ac5e549ff3 ;
    p:P6104 wds:Q208237-E863F291-7811-4A8F-A515-09228C535425 ;
    p:P6366 wds:Q208237-21DE53BA-3190-429B-8EFC-9D8B229AB83A ;
    p:P646 wds:Q208237-4CCC6237-CE5B-4E55-9C2E-37D25786CA87 ;
    p:P6781 wds:Q208237-4346cdbb-4af5-a7fa-f5ab-b883040c3cb0 ;
    p:P6900 wds:Q208237-55c9e883-411c-e5f4-2fbc-140278b957ea ;
    p:P7554 wds:Q208237-9529bfd3-4b53-bd7f-fbf3-69ed19ba9162 ;
    p:P7726 wds:Q208237-015ef0e1-4a02-5db0-90b5-4c62fb5aa589 ;
    p:P8417 wds:Q208237-26e9fb95-4667-e050-0025-84101320107b ;
    p:P9621 wds:Q208237-a325660c-45f4-1c1d-017b-73772bd2ebcc ;
    wdtn:P6366 <https://makg.org/entity/206901836> ;
    wdt:P10017 "monoide" ;
    wdt:P10037 "monoide" ;
    wdt:P10283 "C206901836" ;
    wdt:P10376 "mathematics/monoids" ;
    wdt:P12385 "monoide" ;
    wdt:P12888 "df-mnd" ;
    wdt:P1296 "0124602" ;
    wdt:P1552 wd:Q177251,
        wd:Q185813,
        wd:Q4720939 ;
    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\"><mi>𝑴</mi></mrow><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mi>M</mi><mo>,</mo><mo stretchy=\"false\">*</mo><mo>,</mo><mi>e</mi><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2579 wd:Q217413 ;
    wdt:P279 wd:Q10567583,
        wd:Q111485852,
        wd:Q207348,
        wd:Q2785361 ;
    wdt:P2812 "Monoid" ;
    wdt:P2888 <http://www.farzanegi.org/math/monoid> ;
    wdt:P3365 "monoide" ;
    wdt:P373 "Monoids" ;
    wdt:P3827 "monoids" ;
    wdt:P3847 "monoids" ;
    wdt:P4215 "monoid" ;
    wdt:P5844 "monoide" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "206901836" ;
    wdt:P646 "/m/04z49" ;
    wdt:P6781 "Definition:Monoid" ;
    wdt:P6900 "モノイド" ;
    wdt:P7554 "Monoid" ;
    wdt:P7726 "Monoid" ;
    wdt:P8417 "Monoid" ;
    wdt:P9621 "monoide" .