Behruz Sadeqi

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20202026

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math.AC2026

On the Matlis Reflexive Modules

Behruz Sadeqi

Matlis duality, first introduced by Eben Matlis in 1958, stands as one of the most elegant and powerful tools in commutative algebra, establishing a striking contravariant equivale…

math.AC2025

The Second Vanishing Theorem for Formal Local Cohomology Modules

Behruz Sadeqi

This paper establishes a second vanishing theorem for formal local cohomology modules over Noetherian local rings. We introduce the \textit{formal dimension} invariant and characte…

math.AC2025

Betti Numbers and Formal Local Cohomology Modules

Behruz Sadeqi

This article investigates the relationship between Betti numbers of finitely generated modules over a Noetherian local ring $(R, m)$ and the structure of formal local co…

math.AC2020

Associated primes of formal local cohomology modules

Behruz Sadeqi

Let $a$ be an ideal of a commutative Noetherian ring $R$ and $M$ a finitely generated $R$ -module. In this paper we proved that if $\operatorname{Supp}\mathfrak{F}_\mathf…

math.AC2020

Cominimaxness properties of formal local cohomology modules

Behruz Sadeqi

Let $a$ be an ideal of local ring $(R, m)$ and $M$ a finitely generated $R$ -module and $n \in N$ . It is shown that some results concerning cominimaxness of…