Artin–Rees lemma ^ingelesa (Q3229329)

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) ^ingelesa

Hizkuntza	Etiketa	Deskribapena	Goitizenak
euskara	Ez da etiketarik zehaztu	Ez da deskribapenik zehaztu
ingelesa	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)