Dualities and equivalences of the category of relative Cohen–Macaulay modules
P Pourghobadian, K Divaani-Aazar… - Journal of Commutative …, 2024 - projecteuclid.org
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 …
developing the theory of relative Cohen–Macaulay modules. Let R be a commutative …
Local cohomology and Foxby classes
M Ahmadi, A Rahimi - Acta Mathematica Hungarica, 2024 - Springer
Let R be a commutative Noetherian ring and I a proper ideal of R. In this paper, we study
finitely generated R-modules M with only one non-vanishing local cohomology module\({H} …
finitely generated R-modules M with only one non-vanishing local cohomology module\({H} …
Relative homological rings and modules
P Pourghobadian, K Divaani-Aazar… - arXiv preprint arXiv …, 2022 - arxiv.org
The study of rings and modules with homological criteria is a cornerstone of commutative
algebra. Let $ R $ be a commutative Noetherian ring with identity (not necessarily local) and …
algebra. Let $ R $ be a commutative Noetherian ring with identity (not necessarily local) and …