2024/03/07 by Behzadipour, Hussein, Koppelaar, Henk, Nasehpour, Peyman
#12K10 #13A15 #16Y60 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2403.04903
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 ring theory, we observe that their behavior is different in many cases.