Hellus, Michael (2001) On the set of associated primes of a local cohomology module. JOURNAL OF ALGEBRA, 237 (1). pp. 406-419. ISSN 0021-8693
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Assume R is a local Cohen-Macaulay ring. It is shown that Ass(R)(H-I(l)(R)) is finite for any ideal I and any integer I provided Ass(R)(H-(x, y)(2)(R)) is finite for any x, y is an element of R and Ass(R)(H-(x1,x2,y)(3)(R)) is finite for any y is an element of R and any regular sequence x,, x(2) is an element of R. Furthermore it is shown that Ass,(H-I(l)(R)) is always finite if dim(R) less than or equal to 3. The same statement is even true for dim(R) less than or equal to 4 if R is almost factorial. (C) 2001 Academic Press.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Michael Hellus |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Feb 2022 07:18 |
| Last Modified: | 14 Feb 2022 07:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/41700 |
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