@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:Q713084 rdfs:label "артынава колца"@be-tarask,
        "anell artinià"@ca,
        "Artinovský okruh"@cs,
        "artinscher Ring"@de,
        "artinian ring"@en,
        "ringo de Artin"@eo,
        "anillo artiniano"@es,
        "حلقه آرتینی"@fa,
        "anneau artinien"@fr,
        "חוג ארטיני"@he,
        "anello artiniano"@it,
        "アルティン環"@ja,
        "아르틴 환"@ko,
        "anellus artinianus"@la,
        "အာတင် ကွင်း"@my,
        "artiniaanse ring"@nl,
        "pierścień artinowski"@pl,
        "Mòdol artinian"@pms,
        "anel artiniano"@pt,
        "anel artiniano"@pt-br,
        "inel artinian"@ro,
        "артиново кольцо"@ru,
        "artinski kolobar"@sl,
        "кільце Артіна"@uk,
        "阿廷環"@zh ;
    schema1:dateModified "2026-09-06T17:40:38+00:00"^^xsd:dateTime ;
    schema1:description "tipus d'anell polinomial"@ca,
        "Ring ohne strikt fallende unendliche Kette an Idealen"@de,
        "ring that satisfies the descending chain condition on ideals"@en,
        "anel que satisfaz a condição de cadeia descendente de ideais"@pt,
        "anel que satisfaz a condição de cadeia descendente de ideais"@pt-br,
        "inel care satisface condiția lanțului descendent la ideale"@ro,
        "不具無窮遞降理想鏈的環"@zh ;
    schema1:version 2541223514 ;
    wikibase:identifiers 7 ;
    wikibase:sitelinks 17 ;
    wikibase:statements 14 ;
    skos:altLabel "anell d'Artin"@ca,
        "Artin ring"@en,
        "Artin-a ringo"@eo,
        "artina ringo"@eo ;
    p:P10283 wds:Q713084-62992E33-9B91-4A60-A228-DFA25511732C ;
    p:P138 wds:Q713084-40385322-403a-91e7-4b09-356335436fe4 ;
    p:P1552 wds:Q713084-9ee75de0-4310-528b-d541-de3353233a60 ;
    p:P2534 wds:Q713084-4C855314-97B7-4F6E-BD82-855CA799A115 ;
    p:P279 wds:Q713084-c09c9537-4296-cc83-77a5-90b603a6044c,
        wds:Q713084-e715e19e-4db8-28be-d93c-59cf365177a0 ;
    p:P2812 wds:Q713084-b15b894e-4905-6fcd-92d7-e120adc34e58 ;
    p:P31 wds:Q713084-2ff92c73-4ac5-3a73-2722-48b2bdb6b229 ;
    p:P4215 wds:Q713084-76F07BE9-2F0D-4C95-B589-852D61902773 ;
    p:P6104 wds:Q713084-C407F466-CF5A-443D-BCE1-F033F22E574C ;
    p:P6366 wds:Q713084-1EFD2ECB-11B7-4B53-847B-1F01085D3479 ;
    p:P646 wds:Q713084-31733DAC-15DF-449E-BDAC-3CABC130E004 ;
    p:P7554 wds:Q713084-839d1d53-4e54-15cd-ae30-f100dbf63307 ;
    p:P9621 wds:Q713084-A8884329-7B4A-4AD3-A45F-A92715DAF663 ;
    wdtn:P6366 <https://makg.org/entity/149774684> ;
    wdt:P10283 "C149774684" ;
    wdt:P138 wd:Q57283 ;
    wdt:P1552 wd:Q78657438 ;
    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\"><msup><mi>I</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">&#x2295;</mo><mi>k</mi></mrow></mrow></msup><mo stretchy=\"false\" accent=\"false\">&#x2192;</mo><mi>A</mi><mo>,</mo><mspace width=\"0.167em\"></mspace><mo stretchy=\"false\">(</mo><msub><mi>y</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><mo>&#x2026;</mo><mo>,</mo><msub><mi>y</mi><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></msub><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">&#x21A6;</mo><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><msub><mi>y</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo stretchy=\"false\">+</mo><mo stretchy=\"false\">&#x22EF;</mo><mo stretchy=\"false\">+</mo><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></msub><msub><mi>y</mi><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></msub></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P279 wd:Q2919100,
        wd:Q582271 ;
    wdt:P2812 "ArtinianRing" ;
    wdt:P31 wd:Q24034552 ;
    wdt:P4215 "artinian ring" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "149774684" ;
    wdt:P646 "/m/02gmfk" ;
    wdt:P7554 "Artinian_ring" ;
    wdt:P9621 "anello-artiniano" .