P. Sahandi

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20242026

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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.AC2024

The space of homogeneous preserving semistar operations on graded domains

Parviz Sahandi

Let $R = ⨁_{I^\pm \in I^} R_{I^} \pm$ be a graded integral domain. In this paper we study the space of homogeneous preserving semistar operations on $R$ . We show if $⋆$ is a homogene…

math.AC2024

On a particular subspace of homogeneous preserving star operations

Parviz Sahandi

Let $I^$ be a torsionless commutative cancellative monoid, $R = ⨁_{I^\pm \in I^} R_{I^} \pm$ be a $I^$ -graded integral domain. In this note we show that each homogeneous star operation…

math.AC2024

On graded Going down domains

Parviz Sahandi, Nematollah Shirmohammadi

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