3 papers
math.AC2022
Relative Cohen-Macaulay modules under ring homomorphisms
Parisa Pourghobadian, Kamran Divaani-Aazar, Ahad Rahimi
Let be a commutative Noetherian ring with identity (not necessarily local) and a proper ideal of . We study the invariance of some classes of -relative Co…
math.AC2022
Relative homological rings and modules
Parisa Pourghobadian, Kamran Divaani-Aazar, Ahad Rahimi
The study of rings and modules with homological criteria is a cornerstone of commutative algebra. Let be a commutative Noetherian ring with identity (not necessarily local) and…
math.AC2022
Dualities and equivalences of the category of relative Cohen-Macaulay modules
Parisa Pourghobadian, Kamran Divaani-Aazar, Ahad Rahimi
In this paper, 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 commuta…