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arXiv · 1004.1723

On selfinjective algebras of stable dimension zero

Michio Yoshiwaki
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Abstract

Let $A$ be a selfinjective algebra over an algebraically closed field. We study the stable dimension of $A$, which is the dimension of the stable module category of $A$ in the sense of Rouquier. Then we prove that $A$ is representation-finite if the stable dimension of $A$ is $0$.

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Michio Yoshiwaki. 2010-11-24. On selfinjective algebras of stable dimension zero. https://arxiv.org/abs/1004.1723

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