2 citations · 2 across the 2 of their papers we have counts for
11 papers
Amount algebras
Peyman Nasehpour
In this paper, as a generalization to content algebras, we introduce amount algebras. Similar to the Anderson-Badawi conjecture, we prove that under some co…
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…
Gauss' lemma for polynomials over semidomains
Peyman Nasehpour
In this paper, we generalize Gauss' lemma for polynomials over subtractive factorial semidomains.
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…
Algebraic properties of expectation semirings
Peyman Nasehpour
In this paper, we investigate the algebraic properties of the expectation semirings which are semiring version of the concept of trivial extension in ring theory. We discuss ideals…