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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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Hochschild homology and trivial extension algebras
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by Petter Andreas Bergh and Dag Oskar Madsen PDF
Proc. Amer. Math. Soc. 145 (2017), 1475-1480 Request permission

Abstract:

We prove that if an algebra is either selfinjective, local or graded, then the Hochschild homology dimension of its trivial extension is infinite.
References
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Additional Information
  • Petter Andreas Bergh
  • Affiliation: Department of Mathematical Sciences, NTNU, NO-7491 Trondheim, Norway
  • MR Author ID: 776982
  • Email: bergh@math.ntnu.no
  • Dag Oskar Madsen
  • Affiliation: Faculty of Professional Studies, Nord University, NO-8049 Bodø, Norway
  • MR Author ID: 639380
  • Email: dag.o.madsen@nord.no
  • Received by editor(s): October 12, 2015
  • Received by editor(s) in revised form: June 16, 2016
  • Published electronically: October 20, 2016
  • Communicated by: Pham Huu Tiep
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 1475-1480
  • MSC (2010): Primary 16E40, 16S70
  • DOI: https://doi.org/10.1090/proc/13363
  • MathSciNet review: 3601540