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Transactions of the American Mathematical Society

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

 

 

A note on a question of Bass


Author: Sankar P. Dutta
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
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1985-0792820-5
Article copyright: © Copyright 1985 American Mathematical Society