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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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Descent of the canonical module in rings with the approximation property
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by Christel Rotthaus PDF
Proc. Amer. Math. Soc. 124 (1996), 1713-1717 Request permission

Abstract:

Let $(R,m)$ be a local Noetherian Cohen-Macaulay ring with the approximation property. We show that $R$ admits a canonical module.
References
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Additional Information
  • Christel Rotthaus
  • Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824-1027
  • Email: rotthaus@mth.msu.edu
  • Received by editor(s): September 16, 1994
  • Received by editor(s) in revised form: December 14, 1994
  • Additional Notes: The author gratefully acknowledges partial support from the National Science Foundation
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 1713-1717
  • MSC (1991): Primary 13B35, 13B40, 13D45, 13F40, 13J15
  • DOI: https://doi.org/10.1090/S0002-9939-96-03244-3
  • MathSciNet review: 1307562