@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:Q582271 rdfs:label "حلقة نوترية"@ar,
        "anell noetherià"@ca,
        "Noetherovský okruh"@cs,
        "Noetherscher Ring"@de,
        "Ναιτεριανός δακτύλιος"@el,
        "noetherian ring"@en,
        "ringo de Noether"@eo,
        "anillo noetheriano"@es,
        "حلقه نوتری"@fa,
        "Noetherin rengas"@fi,
        "anneau noethérien"@fr,
        "anel noetheriano"@gl,
        "חוג נתרי"@he,
        "Noether-gyűrű"@hu,
        "anello noetherian"@ia,
        "anello noetheriano"@it,
        "ネーター環"@ja,
        "뇌터 환"@ko,
        "anellus noetherianus"@la,
        "နိုသာ ကွင်း"@my,
        "noetherse ring"@nl,
        "pierścień noetherowski"@pl,
        "anel noetheriano"@pt,
        "anel noetheriano"@pt-br,
        "inel noetherian"@ro,
        "нётерово кольцо"@ru,
        "noetherski kolobar"@sl,
        "Noethersk ring"@sv,
        "кільце Нетер"@uk,
        "諾特環"@zh ;
    schema1:dateModified "2026-09-06T20:28:21+00:00"^^xsd:dateTime ;
    schema1:description "algebraische Struktur"@de,
        "ring whose ideals satisfy the ascending chain condition"@en,
        "anneau dans lequel toute suite croissante d'idéaux (pour l'inclusion) est stationnaire, dans lequel tout idéal est de type fini"@fr,
        "anel que satisfai a condición de cadena ascendente para os ideais"@gl,
        "olyan gyűrű, amiben az ideálokra teljesül a maximumfeltétel"@hu,
        "아이디얼들이 오름 사슬 조건을 만족하는 환"@ko,
        "estrutura algébrica"@pt,
        "estrutura algébrica"@pt-br,
        "不具無窮遞升理想鏈的環"@zh ;
    schema1:version 2541300053 ;
    wikibase:identifiers 13 ;
    wikibase:sitelinks 24 ;
    wikibase:statements 20 ;
    skos:altLabel "حلقة نويترية"@ar,
        "Noether-a ringo"@eo,
        "neter-a ringo"@eo ;
    p:P10283 wds:Q582271-BE952A17-3B92-4B00-A73B-0CF1AF8E9990 ;
    p:P10376 wds:Q582271-f4c0c647-4297-80f0-1f75-5627022f7b08 ;
    p:P10509 wds:Q582271-c9347fb8-42f4-20a6-23e7-5cc9d2bc61eb ;
    p:P12888 wds:Q582271-1566CDA9-3317-4CCA-9599-2FAF8C28C4CC ;
    p:P138 wds:Q582271-0dcbd7ac-4c40-c9ab-6ea4-41d631f568f5 ;
    p:P14534 wds:Q582271-2F4907B2-F083-4216-AEEE-2C5139400BF3 ;
    p:P1552 wds:Q582271-6f880e2e-4fa4-fae8-3296-39419707a501 ;
    p:P2534 wds:Q582271-D332F005-E194-49FD-B3CF-DCFDCD794342 ;
    p:P279 wds:Q582271-6229bed4-484b-8d04-c047-4442eedf6caf,
        wds:Q582271-8838496a-402b-2401-daf4-1012b1f862d0 ;
    p:P2812 wds:Q582271-813527a6-472f-5e38-992a-2508399dea9e ;
    p:P3847 wds:Q582271-2c961541-4f6b-46f4-30cb-dd49c7721633 ;
    p:P4215 wds:Q582271-E5001B46-DCEC-4A23-8C3F-73BAD2228893 ;
    p:P6104 wds:Q582271-5858A229-4404-4DB0-B0A4-76BFA1989ED0 ;
    p:P6366 wds:Q582271-B74585F0-F93B-42CD-8B3A-A7A86E484849 ;
    p:P646 wds:Q582271-89528009-646E-48C1-A2B8-74CA2CC21251 ;
    p:P7235 wds:Q582271-d7fe8e98-48be-904e-13b4-361d89ad5c7c ;
    p:P7554 wds:Q582271-e7327906-4ab4-6838-aa87-93ffd124b94a ;
    p:P7726 wds:Q582271-833c914f-46af-baf9-91cd-9fbada96c5a1 ;
    p:P9621 wds:Q582271-AAF6F63E-A9EA-49DA-B6AF-68FB9E4A7DE3 ;
    wdtn:P6366 <https://makg.org/entity/2777726979> ;
    wdt:P10283 "C2777726979" ;
    wdt:P10376 "mathematics/noetherian-ring" ;
    wdt:P10509 "37851" ;
    wdt:P12888 "df-lnr" ;
    wdt:P138 wd:Q7099 ;
    wdt:P14534 "IsNoetherianRing" ;
    wdt:P1552 wd:Q2528476 ;
    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\"><msub><mi>I</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo stretchy=\"false\">&#x2286;</mo><mo stretchy=\"false\">&#x22EF;</mo><mo stretchy=\"false\">&#x2286;</mo><msub><mi>I</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>k</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msub><mo stretchy=\"false\">&#x2286;</mo><msub><mi>I</mi><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></msub><mo stretchy=\"false\">&#x2286;</mo><msub><mi>I</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>k</mi><mo stretchy=\"false\">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy=\"false\">&#x2286;</mo><mo stretchy=\"false\">&#x22EF;</mo><mo stretchy=\"false\">&#x21D2;</mo><mi mathvariant=\"normal\">&#x2203;</mi><mi>k</mi><mo stretchy=\"false\">.</mo><mi mathvariant=\"normal\">&#x2200;</mi><msup><mi>k</mi><mo>&#x2032;</mo></msup><mo stretchy=\"false\">&#x2265;</mo><mi>k</mi><mo stretchy=\"false\">.</mo><msub><mi>I</mi><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></msub><mo stretchy=\"false\">=</mo><msub><mi>I</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msup><mi>k</mi><mo>&#x2032;</mo></msup></mrow></mrow></msub></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P279 wd:Q2444982,
        wd:Q2851410 ;
    wdt:P2812 "NoetherianRing" ;
    wdt:P3847 "noetherian_rings" ;
    wdt:P4215 "noetherian ring" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2777726979" ;
    wdt:P646 "/m/0fk5n" ;
    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\"><msub><mi>I</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P7554 "Noetherian_ring" ;
    wdt:P7726 "NoetherianRing" ;
    wdt:P9621 "anello-noetheriano" .