Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585342 | Journal of Algebra | 2013 | 11 Pages |
Abstract
We introduce the notion of totally reflexive extension of rings. It unifies Gorenstein orders and Frobenius extensions. We prove that for a totally reflexive extension, a module over the extension ring is totally reflexive if and only if its underlying module over the base ring is totally reflexive.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory