Non-vanishing and cofiniteness of generalized local cohomology modules
TT Nam, NM Tri - Periodica Mathematica Hungarica, 2024 - Springer
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 …
cohomology modules HI i (M, N). In a Cohen–Macaulay local ring (R, m), we prove, by using …
ON THE PROJECTIVE DIMENSION OF ARTINIAN MODULES
Y Irani, K Bahmanpour… - Journal of Algebraic …, 2021 - jas.shahroodut.ac.ir
Let $(R,\mathfrak {m}) $ be a Noetherian local ring and $ M $, $ N $ be two finitely generated
$ R $-modules. In this paper it is shown that $ R $ is a Cohen-Macaulay ring if and only if …
$ R $-modules. In this paper it is shown that $ R $ is a Cohen-Macaulay ring if and only if …