On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings

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26 Scopus citations

Abstract

Let A be a noetherian commutative ring, and let a be an ideal in A. We study questions of flatness and a-adic completeness for infinitely generated A-modules. This is done using the notions of decaying function and a-adically free A-module.

Original languageEnglish
Pages (from-to)4221-4245
Number of pages25
JournalCommunications in Algebra
Volume39
Issue number11
DOIs
StatePublished - 1 Nov 2011

Keywords

  • Completion
  • Flat module
  • Free module
  • Noetherian ring

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