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ON THE AUSLANDER–REITEN PERIODICITY OF SELF-INJECTIVE ALGEBRAS

Published online by Cambridge University Press:  02 February 2004

ZYGMUNT POGORZAŁY
ZYGMUNT POGORZAŁY
Affiliation:
Faculty of Mathematics and Computer Science, Nicholas Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Polandzypo@mat.uni.torun.pl
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Abstract

This paper investigates how to relate the syzygy periodicity of a self-injective algebra $A$ to its Auslander–Reiten periodicity. Moreover, a characterization is provided of the Auslander–Reiten bounded $A$–$A$-bimodules that are periodic.

Keywords

16G7016E40 (primary)16G20 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 2 , March 2004 , pp. 156 - 168
Copyright
© The London Mathematical Society 2004

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