Stable under specialization sets and cofiniteness

K Divaani-Aazar, H Faridian, M Tousi - Journal of Algebra and Its …, 2019 - World Scientific
Let R be a commutative noetherian ring, and 𝒵 a stable under specialization subset of Spec
(R). We introduce a notion of 𝒵-cofiniteness and study its main properties. In the case dim …

[PDF][PDF] Some homological properties of generalized local cohomology modules

Y Irani, K Bahmanpour, G Ghasemi - J. Algebra Appl, 2019 - researchgate.net
Let R be a commutative Noetherian ring with identity, I be an ideal of R and M, N be two R-
modules. Throughout this paper, we denote by idR M and fdR M the injective dimension and …

Bass numbers of derived local cohomology with respect to a specialization closed subset

MR Zargar - Journal of Algebra and Its Applications, 2019 - World Scientific
Let 𝒵 be a specialization closed subset of Spec R and X a left homologically bounded
complex with finitely generated homologies. We provide some inequalities between the …