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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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.

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Double centraliser property and morphism categories
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by Nan Gao and Steffen Koenig PDF
Proc. Amer. Math. Soc. 144 (2016), 971-981 Request permission

Abstract:

Given a ring $A$ and an idempotent $e \in A$, double centraliser property on the bimodule $eA$ is characterised in terms of equivalences of additive categories, which are related to morphism categories. The results and methods then are applied to gendo-Gorenstein algebras.
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Additional Information
  • Nan Gao
  • Affiliation: Department of Mathematics, Shanghai University, Shanghai, People’s Republic of China 200444
  • MR Author ID: 833788
  • Email: nangao@shu.edu.cn
  • Steffen Koenig
  • Affiliation: Institut für Algebra und Zahlentheorie, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
  • MR Author ID: 263193
  • Email: skoenig@mathematik.uni-stuttgart.de
  • Received by editor(s): October 2, 2014
  • Received by editor(s) in revised form: March 7, 2015
  • Published electronically: September 1, 2015
  • Additional Notes: The first author was supported by the National Natural Science Foundation of China (Grant No. 11101259).
  • Communicated by: Pham Huu Tiep
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 971-981
  • MSC (2010): Primary 16E65, 18E05
  • DOI: https://doi.org/10.1090/proc/12807
  • MathSciNet review: 3447651