On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings
arXiv:0902.4378
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.
Minor improvements. Final version, to appear in Comm. Algebra