On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings

Details On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings

2009-02-25

arxiv.org/abs/0902.4378v4

Mathematics

Commutative Algebra

Minor improvements. Final version, to appear in Comm. Algebra

Scientific paper

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.

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