On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings Academic Article uri icon

abstract

  • Let A be a noetherian commutative ring, and let I be an ideal in A. We study questions of flatness and I-adic completeness for infinitely generated A-modules. This is done using the notions of decaying function and I-adically free A-module. Comment: Minor improvements. Final version, to appear in Comm. Algebra

publication date

  • January 1, 2011

published in