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On the first and second problems of Hartshorne on cofiniteness.
- Source :
- Communications in Algebra; 2024, Vol. 52 Issue 10, p4342-4367, 26p
- Publication Year :
- 2024
-
Abstract
- Let a be an ideal of a given commutative Noetherian ring R which satisfies the condition of the first problem of R. Hartshorne in [Affine duality and cofiniteness, Invent. Math. 9 (1970), 145–164]. In this paper, we prove that a also satisfies the condition of his second problem in the same article. We also provide an example to show that the converse statement does not hold in general. [ABSTRACT FROM AUTHOR]
- Subjects :
- NOETHERIAN rings
ABELIAN categories
COMMUTATIVE rings
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 52
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 178714050
- Full Text :
- https://doi.org/10.1080/00927872.2024.2346300