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Artin–Rees lemma
Sign in to savelemma 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)
Wikidata facts
- Instance of
- theorem
- Named after
- Emil Artin
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- maintained by WikiProject
- WikiProject Mathematics
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