Are zero-symmetric simple nearrings with identity equiprime?

2024/05/21 by Wen-Fong Ke, Ke, Wen-Fong, J. H. Meyer +1
Mathematics · #16N60 #16N80 #16Y30 #20E06 #20E32 #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2405.12597

openalex publication_date 2024/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that there exist zero-symmetric simple nearrings with identity which are not equiprime, solving a longstanding open problem.

Related

• Fundamentals Of Recent Findings On 3-Primeness Of Near-Rings With Derivations
• Distribution and Generalized Center in Planar Nearrings
• Units in Near-rings
• Classical semirings
• Supernilpotent Semirings