9 citations · 27 across the 20 of their papers we have counts for
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math.AC2017★ 9 cited
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…
math.AC2017★ 2 cited
Prüfer conditions under the amalgamated construction
Y. Azimi, P. Sahandi, N. Shirmohammadi
In this paper we improve the recent results on the transfer of Prüfer, Gaussian and arithmetical conditions on amalgamated constructions. As an application we provide an answer to…
math.AC2017★ 3 cited
Cohen-Macaulayness of trivial extensions
A. Mahdikhani, P. Sahandi, N. Shirmohammadi
Our goal is to determine when the trivial extensions of commutative rings by modules are Cohen-Macaulay in the sense of Hamilton and Marley. For this purpose, we provide a generali…