10 citations · 14 across the 5 of their papers we have counts for
5 papers
Subintegrality and ideal class groups of monoid algebras
Md Abu Raihan, Leslie G. Roberts, Husney Parvez Sarwar
Let be a commutative cancellative torsion-free and subintegral extension of monoids. Then we prove that in the case of ring extension , the two…
Normality and associated primes of Closed neighborhood ideals and dominating ideals
Mehrdad Nasernejad, Somayeh Bandari, Leslie G. Roberts
In this paper, we first give some sufficient criteria for normality of monomial ideals. As applications, we show that closed neighborhood ideals of complete bipartite graphs are no…
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…
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…
Some Results On Normal Homogeneous Ideals
Les Reid, Leslie G. Roberts, Marie A. Vitulli
In this article we investigate when a homogeneous ideal in a graded ring is normal, that is, when all positive powers of the ideal are integrally closed. We are particularly intere…