Artin–Rees lemma (Q3229329)

From Wikidata
Jump to: navigation, search
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)
edit
Language Label Description Also known as
English
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)

    Statements

    0 references
    0 references
    0 references

    Identifiers

     
    edit
      edit
        edit
          edit
            edit
              edit
                edit
                  edit