N. Shirmohammadi

activity

20082017

most citedCohen-Macaulayness of trivial extensions

3 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

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…

math.AC2016

Cohen-Macaulay properties under the amalgamated construction

Y. Azimi, P. Sahandi, N. Shirmohammadi

Let $A$ and $B$ be commutative rings with unity, $f : A \to B$ a ring homomorphism and $J$ an ideal of $B$ . Then the subring $A ⋈^{f} J := {(a, f (a) + j) ∣ a \in A$ and $j \in J}$ of $A\ti…

math.AC2014

Cohen-Macaulay and Gorenstein properties under the amalgamated construction

P. Sahandi, N. Shirmohammadi, S. Sohrabi

Let $A$ and $B$ be commutative rings with unity, $f : A \to B$ a ring homomorphism and $J$ an ideal of $B$ . Then the subring $A ⋈^{f} J := {(a, f (a) + j) ∣ a \in A$ and $j \in J}$ of $A\ti…

math.AC2013

On cohomological dimension and depth under linkage

M. Eghbali, N. Shirmohammadi

Some relations between cohomological dimensions and depths of linked ideals are investigated and discussed by various examples.

math.AC2008

A note on quasi-Gorenstein rings

S. H. Hassanzadeh, N. Shirmohammadi, H. Zakeri

In this paper, after giving a criterion for a Noetherian local ring to be quasi-Gorenstein, we obtain some sufficient conditions for a quasi- Gorenstein ring to be Gorenstein. In t…