Existence of Totally Reflexive Modules via Gorenstein Homomorphisms
Commutative Algebra
2011-05-25 v3
Abstract
We define, via Gorenstein homomorphisms, a class of local rings over which there exist non-trivial totally reflexive modules. We also provide a general construction of such rings, which indicates their abundance.
Keywords
Cite
@article{arxiv.1101.2658,
title = {Existence of Totally Reflexive Modules via Gorenstein Homomorphisms},
author = {Kristen A. Beck},
journal= {arXiv preprint arXiv:1101.2658},
year = {2011}
}
Comments
Redundancy problem fixed. Most recent version to appear in the Journal of Commutative Algebra