Article ID Journal Published Year Pages File Type
4585342 Journal of Algebra 2013 11 Pages PDF
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