P. Sahandi

activity

20242026

collaborators

5 papers

math.RA2026

On monoid graded semihereditary rings

Haneen Falah Ghalib Al-Kharsan, Parviz Sahandi, Nematollah Shirmohammadi

In order to study graded left hereditary and left semihereditary rings graded by a cancelation monoid in terms of their modules, we need to revisit graded free, projective, injecti…

math.RA2026

A characterization of monoid graded semihereditary rings

Parviz Sahandi, Nematollah Shirmohammadi

Let $I^$ be a cancellation monoid and $R = ⨁_{I^\pm \in I^} R_{I^} \pm$ be a $I^$ -graded ring. It is shown that $R$ is graded left semihereditary if and only if $R$ is graded left coher…

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…