Czechoslovak Mathematical Journal, Vol. 74, No. 4, pp. 1289-1298, 2024


Are zero-symmetric simple nearrings with identity equiprime?

Wen-Fong Ke, Johannes H. Meyer

Received July 21, 2024.   Published online October 28, 2024.

Abstract:  We show that there exist zero-symmetric simple nearrings with identity, which are not equiprime, solving a longstanding open problem.
Keywords:  nearring with identity; infinite simple group; HNN extension; equiprime nearring; prime radical
Classification MSC:  16Y30, 16N60, 16N80, 20E06, 20E32


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Affiliations:   Wen-Fong Ke (correspponding author), Department of Mathematics, National Cheng Kung University, 1st, Dasyue Rd, East District, Tainan 701, Taiwan, e-mail: wfke@mail.ncku.edu.tw; Johannes H. Meyer, Department of Mathematics and Applied Mathematics, University of the Free State, PO Box 339, Bloemfontein, 9300, South Africa, e-mail: meyerjh@ufs.ac.za


 
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