@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:Q3229329 rdfs:label "Lema d'Artin-Rees"@ca,
        "Satz von Artin-Rees"@de,
        "Artin–Rees lemma"@en,
        "lemo de Artin-Rees"@eo,
        "قضیه آرتین-ریس"@fa,
        "lemme d'Artin-Rees"@fr,
        "Lemma di Artin-Rees"@it,
        "アルティン-リースの補題"@ja,
        "အာတင်-ရီးစ် အထောက်အကူပြု သီအိုရမ်"@my,
        "Artin–Rees lemma"@nl,
        "Lema de Artin-Rees"@pt,
        "лемма Артина -— Риса"@ru,
        "Лема Артіна — Ріса"@uk ;
    schema1:dateModified "2026-09-06T17:41:23+00:00"^^xsd:dateTime ;
    schema1:description "teorema"@ca,
        "mathematischer Satz"@de,
        "lemma stating that, given an ideal I in a Noetherian commutative ring R and a submodule N of a a finitely generated R-module M, there exists a positive integer k such that, for every n≥k, IⁿM ∩ N = Iⁿ⁻ᵏ(IᵏM ∩ N)"@en,
        "lemo laŭ kiu, se estas donitaj idealo I de komuta Noether-ringo R kaj submodulo N de finie generita R-modulo M, do ekzistas pozitiva entjero k tia ke, por ĉiu n≥k, IⁿM ∩ N = Iⁿ⁻ᵏ(IᵏM ∩ N)"@eo,
        "théorème d'algèbre sur les anneaux noethérien"@fr ;
    schema1:version 2541223854 ;
    wikibase:identifiers 2 ;
    wikibase:sitelinks 8 ;
    wikibase:statements 6 ;
    skos:altLabel "Théorème d'Artin-Rees"@fr,
        "Théorème d'intersection de Krull"@fr ;
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        wds:Q3229329-cb491e6f-4d04-e3d2-f745-bca088bb235c ;
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    wdtn:P6366 <https://makg.org/entity/2777141097> ;
    wdt:P138 wd:Q57283,
        wd:Q747068 ;
    wdt:P31 wd:Q65943 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2777141097" ;
    wdt:P646 "/m/02pjrqz" .