3 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.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
On graded Going down domains
Parviz Sahandi, Nematollah Shirmohammadi
Let be a torsionless commutative cancellative monoid and be a -graded integral domain. In this paper, we introduce the notion of graded going…