When are n-syzygy modules n-torsionfree?
Abstract
Let R be a commutative noetherian ring. We consider the question of when n-syzygy modules over R are n-torsionfree in the sense of Auslander and Bridger. Our tools include Serre's condition and certain conditions on the local Gorenstein property of R. Our main result implies the converse of a celebrated theorem of Evans and Griffith.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2016
- DOI:
- 10.48550/arXiv.1604.03684
- arXiv:
- arXiv:1604.03684
- Bibcode:
- 2016arXiv160403684M
- Keywords:
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- Mathematics - Commutative Algebra