paper

On the number of indecomposable totally reflexive modules

arXiv:math/0607315

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.

6 pages, minor changes, to appear in Bull. London Math. Soc