Artin–Rees lemma (Q3229329)
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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)
Language | Label | Description | Also known as |
---|---|---|---|
English | Artin–Rees lemma |
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) |
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Wikipedia(8 entries)
- dewiki Satz von Artin-Rees
- enwiki Artin–Rees lemma
- fawiki قضیه آرتین–ریس
- frwiki Lemme d'Artin-Rees
- itwiki Lemma di Artin-Rees
- jawiki アルティン・リースの補題
- ptwiki Lema de Artin-Rees
- ukwiki Лема Артіна — Ріса