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- Title
Generalized Local Cohomology Relative to (I, J).
- Authors
Zamani, Naser
- Abstract
Let R be a commutative Noetherian ring and I, J be ideals of R. Let M,N be two R-modules. For an integer i ≥ 0, we define the i-th generalized local cohomology module HI,Ji(M, N) of M and N relative to pair of ideals (I, J), and prove some vanishing results for this modules. Precisely we show that if (R, m) is local and M is a finitely generated R-module of finite projective dimension, then for any R-module N and ideal J ≠ R, HI, Ji(M, N) = 0 for all i > min{pd(M) + dim(R/J), dimR}. Also we prove that if both M, N are finitely generated, then HI,Ji(M, N) = 0 for all i < inf{depthNp : p ∈ W(IM, J)}.
- Subjects
COHOMOLOGY theory; RING theory; MATHEMATICAL proofs; MATHEMATICS theorems; MATHEMATICAL models
- Publication
Southeast Asian Bulletin of Mathematics, 2011, Vol 35, Issue 6, p1045
- ISSN
0129-2021
- Publication type
Article