3 papers
math.AC2024
Algebraic properties of Indigenous semirings
Hussein Behzadipour, Henk Koppelaar, Peyman Nasehpour
In this paper, we introduce Indigenous semirings and show that they are examples of information algebras. We also attribute a graph to them and discuss their diameters, girths, and…
math.AC2024
Classical semirings
Hussein Behzadipour, Henk Koppelaar, Peyman Nasehpour
In this paper, we investigate semirings whose elements are either units or zero-divisors (nilpotents) with many examples. While comparing these semirings with their counterparts in…
math.RA2018
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 $\…