Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A new invariant of stable equivalences of Morita type
HTML articles powered by AMS MathViewer

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 $A$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 16D50, 16G20
  • Retrieve articles in all journals with MSC (2000): 16D50, 16G20
Additional Information
  • Zygmunt Pogorzały
  • Affiliation: Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
  • Email: zypo@mat.uni.torun.pl
  • 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
  • © Copyright 2002 American Mathematical Society
  • 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
  • MathSciNet review: 1933322