Totally reflexive extensions and modules
Rings and Algebras
2013-05-29 v1 Representation Theory
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.
Cite
@article{arxiv.1203.2391,
title = {Totally reflexive extensions and modules},
author = {Xiao-Wu Chen},
journal= {arXiv preprint arXiv:1203.2391},
year = {2013}
}