Let R be a commutative Noetherian local ring and let 𝔞 be a proper ideal of R. In this paper,
as a main result, it is shown that if M is a Gorenstein R-module with c= ht M𝔞, then for all i≠ …

We establish the global analogues of some dualities and equivalences in local algebra by
developing the theory of relative Cohen–Macaulay modules. Let R be a commutative …

Let (R, m) be a relative Cohen–Macaulay local ring with respect to an ideal a of R and set c
to be ht a. We investigate some properties of the Matlis dual of the R-module H ac (R), and …

We provide a formula (see Theorem 1.5) for the Matlis dual of the injective hull of R/p where
p is a one dimensional prime ideal in a local complete Gorenstein domain (R, m). This is …

A study of quasi-Gorenstein rings - ScienceDirect Skip to main contentSkip to article Elsevier logo
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Let R be a commutative Noetherian (not necessary local) ring with identity and a be a proper
ideal of R. We introduce a notion of a-relative system of parameters and characterize them …

On Flat and Gorenstein Flat Dimensions of Local Cohomology Modules Page 1 Canad. Math.
Bull. Vol. (), pp. – http://dx.doi.org/. /CMB---x ©Canadian Mathematical Society On Flat and …

Let a be an ideal of a commutative Noetherian ring R with identity. We study finitely
generated R-modules M whose a-finiteness and a-cohomological dimensions are equal. In …

arXiv:2307.14513v1 [math.AC] 26 Jul 2023 Page 1 arXiv:2307.14513v1 [math.AC] 26 Jul 2023
ON THE DIMENSION OF COFINITE MODULES MAJID RAHRO ZARGAR AND GHADER …

Let $(R,\fm) $ be a relative Cohen-Macaulay local ring with respect to an ideal $\fa $ of $ R $
and set $ c:=\h\fa $. In this paper, we investigate some properties of the Matlis dual $\H …