About: Artin–Rees lemma

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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)

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  • mathematischer Satz (de)
  • teorema (ca)
  • 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)
  • 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)
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  • Artin-Rees Theorem (en)
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  • ArtinReesTheorem (en)
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  • Artin–Rees lemma (en)
  • Satz von Artin-Rees (de)
  • Lemme d'Artin-Rees (fr)
  • Lemma di Artin-Rees (it)
  • アルティン・リースの補題 (ja)
  • Lema de Artin-Rees (pt)
  • Лема Артіна — Ріса (uk)
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