A new invariant of stable equivalences of Morita type

Pogorzały, Zygmunt

doi:10.1090/S0002-9939-02-06553-X

A new invariant of stable equivalences of Morita type
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by Zygmunt Pogorzały PDF

Proc. Amer. Math. Soc. 131 (2003), 343-349 Request permission

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 $A$ (considered as an $A$-$A$-bimodule) is also invariant under stable equivalences of Morita type, where the orbit algebra is the algebra of all stable $A$-$A$-bimodule morphisms from the non-negative Auslander-Reiten translations of $A$ to $A$.

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