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- Title
COHOMOLOGICAL DIMENSIONS WITH RESPECT TO SUM AND INTERSECTION OF IDEALS.
- Authors
Vahidi, Alireza
- Abstract
Let R be a commutative Noetherian ring with non-zero identity, a and b proper ideals of R, M a finitely generated R-module with finite projective dimension, and X a finitely generated R-module. We study the cohomological dimensions of M and X with respect to a + b and a ∩ b. We show that the inequality cda+b(M,X) ⩽ cda(M,X) + cdb (X) holds true and we find an equivalent condition for it to be equality.
- Subjects
DIMENSIONS; QUADRILATERALS; INTERSECTION numbers; COHOMOLOGY theory; MODULES (Algebra)
- Publication
Publications de l'Institut Mathématique, 2017, Vol 102, Issue 116, p115
- ISSN
0350-1302
- Publication type
Article
- DOI
10.2298/PIM1716115V