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Cohen-Macaulay modules over Cohen-Macaulay rings
- Publisher
- Wiley
- Copyright
- © 2022 London Mathematical Society.
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/blms.12705
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we investigate the maximal Cohen–Macaulay property of tensor products of modules, and then give criteria for projectivity of modules in terms of vanishing of Ext modules. One of the applications shows that the Auslander–Reiten conjecture holds for Cohen–Macaulay normal rings.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Dec 1, 2022