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Maximal n-orthogonal modules for selfinjective algebras

Karin Erdmann·Thorsten Holm
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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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Karin Erdmann, Thorsten Holm. 2006-03-29. Maximal n-orthogonal modules for selfinjective algebras. https://arxiv.org/abs/math/0603672

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