10 citations · 21 across the 18 of their papers we have counts for
5 papers · 1 filter
Results on the normality of square-free monomial ideals and cover ideals under some graph operations
Ibrahim Al-Ayyoub, Mehrdad Nasernejad, Kazem Khashyarmanesh +2
In this paper, we introduce techniques for producing normal square-free monomial ideals from old such ideals. These techniques are then used to investigate the normality of cover i…
Dominating ideals and closed neighborhood ideals of graphs
Mehrdad Nasernejad, Ayesha Asloob Qureshi, Somayeh Bandari +1
We study the closed neighborhood ideals and the dominating ideals of graphs, in particular, of trees and cycles. We prove that the closed neighborhood ideals and the dominating ide…
On the embedded associated primes of monomial ideals
Mirsadegh Sayedsadeghi, Mehrdad Nasernejad, Ayesha Asloob Qureshi
Let be a square-free monomial ideal in a polynomial ring over a field , be the graded maximal ideal of , and $\{u…
Classes of normally and nearly normally torsion-free monomial ideals
Mehrdad Nasernejad, Ayesha Asloob Qureshi, Kazem Khashyarmanesh +1
In this paper, our main focus is to explore different classes of nearly normally torsion-free ideals. We first characterize all finite simple connected graphs with nearly normally…
On the matroidal path ideals
Mehrdad Nasernejad, Kazem Khashyarmanesh, Ayesha Asloob Qureshi
We prove that the set of all paths of a fixed length in a complete multipartite graph is the bases of a matroid. Moreover, we discuss the Cohen-Macaulayness and depth of powers of…