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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)
In the Vinony graph
Within Vinony's link graph, Artin–Rees lemma is referenced by 15 other articles, and connects out to local ring, mathematics and International Standard Book Number.
Vinony files it under Commutative algebra, Lemmas in algebra and Module theory.
Its subject is documented across 8 Wikipedia language editions.
Wikidata facts
- Instance of
- theorem
- Named after
- Emil Artin
Show 1 more fact
- maintained by WikiProject
- WikiProject Mathematics
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via Wikidata · CC0
Connections
local ring
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mathematics
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International Standard Book Number
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mathematician
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digital object identifier
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bibcode
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Michael Atiyah
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ideal
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module
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Emil Artin
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Semantic Scholar
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integral domain
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Oscar Zariski
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Cayley–Hamilton theorem
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endomorphism
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PlanetMath
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Mathematical Reviews
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noetherian ring
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algebraic integer
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Hilbert's basis theorem
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