A new invariant of stable equivalences of Morita type

Author:
Zygmunt Pogorzaly

Journal:
Proc. Amer. Math. Soc. **131** (2003), 343-349

MSC (2000):
Primary 16D50; Secondary 16G20

DOI:
https://doi.org/10.1090/S0002-9939-02-06553-X

Published electronically:
June 5, 2002

MathSciNet review:
1933322

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Abstract | References | Similar Articles | Additional Information

Abstract: It was proved in an earlier paper by the author that the Hochschild cohomology algebras of self-injective algebras are invariant under stable equivalences of Morita type. In this note we show that the orbit algebra of a self-injective algebra (considered as an --bimodule) is also invariant under stable equivalences of Morita type, where the orbit algebra is the algebra of all stable --bimodule morphisms from the non-negative Auslander-Reiten translations of to .

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Additional Information

**Zygmunt Pogorzaly**

Affiliation:
Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Email:
zypo@mat.uni.torun.pl

DOI:
https://doi.org/10.1090/S0002-9939-02-06553-X

Received by editor(s):
May 2, 2001

Received by editor(s) in revised form:
September 6, 2001

Published electronically:
June 5, 2002

Dedicated:
Dedicated to Professor Idun Reiten on the occasion of her sixtieth birthday

Communicated by:
Martin Lorenz

Article copyright:
© Copyright 2002
American Mathematical Society