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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Artin–Rees lemma
Summary
Artin–Rees lemma is a theorem[1]. It draws 27 Wikipedia views per month (theorem category, ranking #262 of 1,306).[2]
Key Facts
- Artin–Rees lemma's instance of is recorded as theorem[3].
- Emil Artin is named after Artin–Rees lemma[4].
- David Rees is named after Artin–Rees lemma[5].
- Artin–Rees lemma's Freebase ID is recorded as /m/02pjrqz[6].
- Artin–Rees lemma's maintained by WikiProject is recorded as WikiProject Mathematics[7].
- Artin–Rees lemma's Microsoft Academic ID is recorded as 2777141097[8].
Why It Matters
Artin–Rees lemma draws 27 Wikipedia views per month (theorem category, ranking #262 of 1,306).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[9]