A. Rahimi

activity

20052022

most citedLocal Duality for Bigraded Modules

5 citations · 5 across the 10 of their papers we have counts for

collaborators

16 papers

math.AC2022

Relative Cohen-Macaulay modules under ring homomorphisms

Parisa Pourghobadian, Kamran Divaani-Aazar, Ahad Rahimi

Let $R$ be a commutative Noetherian ring with identity (not necessarily local) and $a$ a proper ideal of $R$ . We study the invariance of some classes of $a$ -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 $R$ 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…

math.AC2020

maximal depth property of bigraded modules

Ahad Rahimi

Let $S = K [x_{1}, \dots, x_{m}, y_{1}, \dots, y_{n}]$ be the standard bigraded polynomial ring over a field $K$ . Let $M$ be a finitely generated bigraded $S$ -module and $Q = (y_{1}, \dots, y_{n})$ …

math.AC2019

Squarefree monomial ideals with maximal depth

Ahad Rahimi

Let $(R,\mm)$ be a Noetherian local ring and $M$ a finitely generated $R$ -module. We say $M$ has maximal depth if there is an associated prime $\pp$ of $M$ such that $\depth M=\dim…

math.AC2018

Maximal depth property of finitely generated modules

Ahad Rahimi

Let $(R, m)$ be a Noetherian local ring and $M$ a finitely generated $R$ -module. We say $M$ has maximal depth if there is an associated prime $p$ of $M$ such t…