On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings |
| |
| Authors: | Amnon Yekutieli |
| |
| Affiliation: | 1. Department of Mathematics , Ben Gurion University , Be'er Sheva, Israel amyekut@math.bgu.ac.il |
| |
| 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. |
| |
| Keywords: | Completion Flat module Free module Noetherian ring |
|
|
