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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A note on a question of Bass
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by Sankar P. Dutta PDF
Trans. Amer. Math. Soc. 290 (1985), 691-700 Request permission

Abstract:

In this paper we study the following question raised by Bass: Is a local ring with a finitely generated module of finite injective dimension Cohen-Macaulay? We prove that the answer is in the affirmative when a certain local cohomology of the ring is either decomposible or cyclic. We also study the above question in some special cases and some of its implications.
References
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 290 (1985), 691-700
  • MSC: Primary 13D05; Secondary 13D03, 13H10
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0792820-5
  • MathSciNet review: 792820