vix.ing · top · new · best · stats · spec

On the number of indecomposable totally reflexive modules

2006/07/13 by Ryo Takahashi, Takahashi, Ryo
Mathematics · #13C13 #13D05 #16G60 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13C13 #msc:13D05 #msc:16G60

paper · pdf · doi:10.48550/arxiv.math/0607315

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

arxiv created 2006/09/25 · arxiv updated 2009/12/01

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.

Related