N. Shirmohammadi

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20112026

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math.AC2025

On graded going-down domains, II

Parviz Sahandi, Nematollah Shirmohammadi

In this paper we consider the graded going-down property of graded integral domains in pullbacks. It then enables us to give original examples of these domains.

math.AC2023

On graded Going down domains

Parviz Sahandi, Nematollah Shirmohammadi

Let $Γ$ be a torsionless commutative cancellative monoid and $R = ⨁_{α \in Γ} R_{α}$ be a $Γ$ -graded integral domain. In this paper, we introduce the notion of graded going-down…

math.AC2011

Tameness and Artinianness of Graded Generalized Local Cohomology Modules

M. Jahangiri, N. Shirmohammadi, Sh. Tahamtan

Let $R = ⨁_{n \geq 0} R_{n}$ , $\fa\supseteq \bigoplus_{n> 0}R_n$ and $M$ and $N$ be a standard graded ring, an ideal of $R$ and two finitely generated graded $R$ -modules, respect…