12 citations · 19 across the 6 of their papers we have counts for
7 papers
Some factorization properties of idealization in commutative rings with zero divisors
Sina Eftekhari, Sayyed Heidar Jafari, Mahdi Reza Khorsandi
We study some factorization properties of the idealization of a module in a commutative ring which is not necessarily a domain. We show that $R \m…
On the nonorientable genus of the generalized unit and unitary Cayley graphs of a commutative ring
Mahdi Reza Khorsandi, Seyed Reza Musawi
Let be a commutative ring and let be multiplicative group of unit elements of . In 2012, Khashyarmanesh et al. defined generalized unit and unitary Cayley graph, $Γ(R…
2-nearly Platonic graphs are unique
D. Froncek, M. R. Khorsandi, S. R. Musawi +1
A 2-nearly Platonic graph of type (k|d) is a k-regular planar graph with f faces, f-2 of which are of degree d and the remaining two are of degrees m_1;m_2, both different from d.…
A note on nearly Platonic graphs with connectivity one
D. Froncek, M. R. Khorsandi, S. R. Musawi +1
A k-regular planar graph G is nearly Platonic when all faces but one are of the same degree while the remaining face is of a different degree. We show that no such graphs with conn…
Absence of -Nearly Platonic Graphs
Mahdi Reza Khorsandi, Seyed Reza Musawi
A -nearly platonic graph is a finite, connected, regular, simple and planar graph in which all but exactly numbers of its faces have the same length. It is proved that there…
MCD-finite Domains and Ascent of IDF Property in Polynomial Extensions
Sina Eftekhari, Mahdi Reza Khorsandi
An integral domain is said to have the IDF property when every non-zero element of it has only a finite number of non-associate irreducible divisors. A counterexample has already b…
On the Unit Graph of a Noncommutative Ring
S. Akbari, E. Estaji, M. R. Khorsandi
Let be a ring (not necessary commutative) with non-zero identity. The unit graph of , denoted by , is a graph with elements of as its vertices and two distinct ver…