2 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
Covering conditions for ideals in semirings
Peyman Nasehpour
In this paper, we prove prime avoidance for ringoids. We also generalize McCoy's and Davis' prime avoidance theorems in the context of semiring theory. Next, we proceed to define a…