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On self-injective algebras of stable dimension zero

Published online by Cambridge University Press:  11 January 2016

Michio Yoshiwaki
Michio Yoshiwaki*
Affiliation:
Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Sumiyoshi-ku, Osaka 558-8585, Japanyosiwaki@sci.osaka-cu.ac.jp
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Abstract

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Let A be a self-injective 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 zero.

Keywords

16G6018E30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 203 , September 2011 , pp. 101 - 108
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011

References

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