On the number of indecomposable totally reflexive modules
Commutative Algebra
2007-05-23 v2
Abstract
In this note, it is proved that over a commutative noetherian henselian non-Gorenstein local ring there are infinitely many isomorphism classes of indecomposable totally reflexive modules, if there is a nonfree cyclic totally reflexive module.
Cite
@article{arxiv.math/0607315,
title = {On the number of indecomposable totally reflexive modules},
author = {Ryo Takahashi},
journal= {arXiv preprint arXiv:math/0607315},
year = {2007}
}
Comments
6 pages, minor changes, to appear in Bull. London Math. Soc