Maximal n-orthogonal modules for selfinjective algebras
Karin Erdmann, Thorsten Holm
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.
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