Supernilpotent Semirings

2024/10/11 by Mudrinski, Nebojša, Šobot, Milica
#08A05 #08A30 #16Y60 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2410.09271

Abstract

We prove that supernilpotent and nilpotent semirings with absorbing zero are the same and provide a necessary and sufficient condition for supernilpotency (nilpotency).

Related

• Classical semirings
• Is supernilpotence super nilpotence?
• Supernilpotence Need Not Imply Nilpotence
• Supernilpotent Semigroups
• Completion of Semirings