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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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Two classes of algebras with infinite Hochschild homology
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by Andrea Solotar and Micheline Vigué-Poirrier PDF
Proc. Amer. Math. Soc. 138 (2010), 861-869 Request permission

Abstract:

We prove without any assumption on the ground field that higher Hochschild homology groups do not vanish for two large classes of algebras whose global dimension is not finite.
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Additional Information
  • Andrea Solotar
  • Affiliation: Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1 1428, Buenos Aires, Argentina
  • MR Author ID: 283990
  • Email: asolotar@dm.uba.ar
  • Micheline Vigué-Poirrier
  • Affiliation: Laboratoire Analyse, Géométrie et Applications, UMR CNRS 7539, Institut Galilée, Université Paris 13, F-93430 Villetaneuse, France
  • Email: vigue@math.univ-paris13.fr
  • Received by editor(s): June 12, 2009
  • Received by editor(s) in revised form: August 16, 2009
  • Published electronically: November 2, 2009
  • Additional Notes: This work was supported by the projects UBACYTX212 and PIP-CONICET 5099. The first author is a research member of CONICET (Argentina) and a Regular Associate of ICTP Associate Scheme.
    The second author is a research member of University of Paris 13, CNRS, UMR 7539 (LAGA)
  • Communicated by: Martin Lorenz
  • © Copyright 2009 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 861-869
  • MSC (2010): Primary 16E40, 16W50
  • DOI: https://doi.org/10.1090/S0002-9939-09-10168-5
  • MathSciNet review: 2566552