A. Mafi

most citedA new characterization of commutative Artinian rings

2 citations · 2 across the 1 of their papers we have counts for

collaborators

Showing math.ACShow all

4 papers · 1 filter

math.AC2005

Some results on local cohomology modules

Amir Mafi

Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$ , and let $M$ be a finitely generated $R$ -module. For a non-negative integer $t$ , we prove that $H_{\fa}^t(M)$ is $\f…

math.AC2005

Some properties of generalized local cohomology modules

Amir Mafi

Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$ , $M$ and $N$ be two finitely generated $R$ -modules. Let $t$ be a positive integer. We prove that if $R$ is local wit…

math.AC2005

On the associated primes of generalized local cohomology modules

Amir Mafi

Let $\fa$ be an ideal of a commutative Noetherian ring $R$ with identity and let $M$ and $N$ be two finitely generated $R$ -modules. Let $t$ be a positive integer. It is shown that…

math.AC2004★ 2 cited

A new characterization of commutative Artinian rings

Kamran Divaani-Aazar, Amir Mafi

Let $R$ be a commutative Noetherian ring. It is shown that $R$ is Artinian if and only if every $R$ -module is good, if and only if every $R$ -module is representable. As a result, i…