9 citations · 27 across the 20 of their papers we have counts for
21 papers · 1 filter
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.
The space of homogeneous preserving semistar operations on graded domains
Parviz Sahandi
Let be a graded integral domain. In this paper we study the space of homogeneous preserving semistar operations on . We show if is a homogeneous…
On a particular subspace of homogeneous preserving star operations
Parviz Sahandi
Let be a torsionless commutative cancellative monoid, be a -graded integral domain. In this note we show that each homogeneous star operation $\sta…
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-down…
Cohen-Macaulay homological dimensions
Parviz Sahandi, Tirdad Sharif, Siamak Yassemi
We introduce new homological dimensions, namely the Cohen-Macaulay projective, injective and flat dimensions for homologically bounded complexes. Among other things we show that (a…
Graded integral domains which are UMT-domains
Gyu Whan Chang, Parviz Sahandi
Let be a torsionless commutative cancellative monoid, be a -graded integral domain, and be the set of nonzero homogeneous elements of . In…