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.
Original language | English (US) |
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Pages (from-to) | 691-700 |
Number of pages | 10 |
Journal | Transactions of the American Mathematical Society |
Volume | 290 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1985 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics