06-19

Maximal n-orthogonal modules for selfinjective algebras

by Karin Erdmann; Thorsten Holm

 

Preprint series: 06-19, Preprints

MSC:
16G10 Representations of Artinian rings
16D50 Injective modules, self-injective rings, See also {16L60, 18G05}
16E10 Homological dimension
16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

 

Abstract: Let A be a selfinjective algebra. We show that, for any n, maximal n-orthogonal A-modules (in the sense of Iyama) rarely exist. More precisely, we prove that if A admits a maximal n-orthogonal module, then all A-modules are of complexity at most 1.

Keywords: Selfinjective algebras; Maximal n-orthogonal modules


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Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster