Behruz Sadeqi

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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…