On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings
Commutative Algebra
2010-02-12 v4 Algebraic Geometry
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.
Cite
@article{arxiv.0902.4378,
title = {On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings},
author = {Amnon Yekutieli},
journal= {arXiv preprint arXiv:0902.4378},
year = {2010}
}
Comments
Minor improvements. Final version, to appear in Comm. Algebra