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.
Original language | English |
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Pages (from-to) | 4221-4245 |
Number of pages | 25 |
Journal | Communications in Algebra |
Volume | 39 |
Issue number | 11 |
DOIs | |
State | Published - 1 Nov 2011 |
Keywords
- Completion
- Flat module
- Free module
- Noetherian ring
ASJC Scopus subject areas
- Algebra and Number Theory