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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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Gorenstein derived functors
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by Henrik Holm PDF
Proc. Amer. Math. Soc. 132 (2004), 1913-1923 Request permission

Abstract:

Over any associative ring $R$ it is standard to derive $\mathrm {Hom}_R(-,-)$ using projective resolutions in the first variable, or injective resolutions in the second variable, and doing this, one obtains $\mathrm {Ext}_R^n(-,-)$ in both cases. We examine the situation where projective and injective modules are replaced by Gorenstein projective and Gorenstein injective ones, respectively. Furthermore, we derive the tensor product $-\otimes _R-$ using Gorenstein flat modules.
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Additional Information
  • Henrik Holm
  • Affiliation: Matematisk Afdeling, Københavns Universitet, Universitetsparken 5, 2100 København Ø, DK–Danmark
  • Email: holm@math.ku.dk
  • Received by editor(s): May 14, 2002
  • Received by editor(s) in revised form: April 16, 2003
  • Published electronically: February 13, 2004
  • Communicated by: Bernd Ulrich
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1913-1923
  • MSC (2000): Primary 13D02, 13D05, 13D07, 13H10, 16E05, 16E10, 16E30
  • DOI: https://doi.org/10.1090/S0002-9939-04-07317-4
  • MathSciNet review: 2053961