14 citations · 123 across the 26 of their papers we have counts for
4 papers · 1 filter
A generalization of zero-divisor graphs
Peyman Nasehpour
In this paper, we introduce a family of graphs which is a generalization of zero-divisor graphs and compute an upper-bound for the diameter of such graphs. We also investigate thei…
Dedekind semidomains
Peyman Nasehpour
We define Dedekind semidomains as semirings in which each nonzero fractional ideal is invertible. Then we find some equivalent condition for semirings to being Dedekind. For exampl…
Eversible and reversible semigroups and semirings
Peyman Nasehpour
The main purpose of this paper is to investigate the zero-divisors of semigroups with zero and semirings and in particular, to discuss eversible and reversible semigroups and semir…
On 2-absorbing ideals of commutative semirings
Hussein Behzadipour, Peyman Nasehpour
In this paper, we investigate 2-absorbing ideals of commutative semirings and prove that if is a nonzero proper ideal of a subtractive valuation semiring then $\…