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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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Endofunctors of singularity categories characterizing Gorenstein rings
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by Takuma Aihara and Ryo Takahashi PDF
Proc. Amer. Math. Soc. 143 (2015), 3777-3779 Request permission

Abstract:

In this paper, we prove that certain contravariant endofunctors of singularity categories characterize Gorenstein rings.
References
  • Maurice Auslander and Mark Bridger, Stable module theory, Memoirs of the American Mathematical Society, No. 94, American Mathematical Society, Providence, R.I., 1969. MR 0269685
  • R.-O. Buchweitz, Maximal Cohen-Macaulay modules and Tate-cohomology over Gorenstein rings, Preprint (1986), http://hdl.handle.net/1807/16682.
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Additional Information
  • Takuma Aihara
  • Affiliation: Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, Aichi 464-8602, Japan
  • Address at time of publication: Faculty of Liberal Arts and Sciences, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan
  • Email: aihara@las.osakafu-u.ac.jp
  • Ryo Takahashi
  • Affiliation: Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, Aichi 464-8602, Japan
  • MR Author ID: 674867
  • Email: takahashi@math.nagoya-u.ac.jp
  • Received by editor(s): May 18, 2014
  • Published electronically: April 29, 2015
  • Additional Notes: The first author was partly supported by IAR Research Project, Institute for Advanced Research, Nagoya University.
    The second author was partly supported by JSPS Grant-in-Aid for Scientific Research (C) 25400038
  • Communicated by: Irena Peeva
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 3777-3779
  • MSC (2010): Primary 13D09, 13H10, 18E30
  • DOI: https://doi.org/10.1090/proc/12580
  • MathSciNet review: 3359569