Are zero-symmetric simple nearrings with identity equiprime?

Wen Fong Ke; Johannes H. Meyer

doi:10.21136/CMJ.2024.0302-24

Are zero-symmetric simple nearrings with identity equiprime?

Wen Fong Ke, Johannes H. Meyer

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	1289-1298
Number of pages	10
Journal	Czechoslovak Mathematical Journal
Volume	74
Issue number	4
DOIs	https://doi.org/10.21136/CMJ.2024.0302-24
Publication status	Published - 2024 Dec

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.21136/CMJ.2024.0302-24

Cite this

@article{147d7779ae414e72b22f00fdc5c78749,

title = "Are zero-symmetric simple nearrings with identity equiprime?",

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

author = "Ke, {Wen Fong} and Meyer, {Johannes H.}",

note = "Publisher Copyright: {\textcopyright} Institute of Mathematics, Czech Academy of Sciences 2024.",

year = "2024",

month = dec,

doi = "10.21136/CMJ.2024.0302-24",

language = "English",

volume = "74",

pages = "1289--1298",

journal = "Czechoslovak Mathematical Journal",

issn = "0011-4642",