We introduce a notion of generalized local cohomology modules with respect to a pair of
ideals (I, J) which is a generalization of the concept of local cohomology modules with …

In this paper, we show some results on the non-vanishing of the generalized local
cohomology modules HI i (M, N). In a Cohen–Macaulay local ring (R, m), we prove, by using …

arXiv:1303.7298v1 [math.AC] 29 Mar 2013 Page 1 arXiv:1303.7298v1 [math.AC] 29 Mar 2013
GENERALIZED IDEAL TRANSFORMS TRAN TUAN NAM AND NGUYEN MINH TRI Abstract …

On Minimax Modules and Generalized Local Cohomology with Respect to a Pair of Ideals |
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SOME PROPERTIES OF GENERALIZED LOCAL HOMOLOGY AND COHOMOLOGY
MODULES 1. Introduction Let I be an ideal of a local Noetherian com Page 1 Bull. Korean …

The local cohomology theory plays an important role in commutative algebra and algebraic
geometry. The I-cofiniteness of local cohomology modules is one of interesting properties …

Let (R, 𝔪) be a local commutative Noetherian ring and I an ideal of R. Assume that M is a
finitely generated R-module of finite projective dimension p and N is a finitely generated R …