Are zero-symmetric simple nearrings with identity equiprime?
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1289-1298
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We show that there exist zero-symmetric simple nearrings with identity, which are not equiprime, solving a longstanding open problem.
We show that there exist zero-symmetric simple nearrings with identity, which are not equiprime, solving a longstanding open problem.
Classification :
16N60, 16N80, 16Y30, 20E06, 20E32
Keywords: nearring with identity; infinite simple group; HNN extension; equiprime nearring; prime radical
Keywords: nearring with identity; infinite simple group; HNN extension; equiprime nearring; prime radical
@article{10_21136_CMJ_2024_0302_24,
author = {Ke, Wen-Fong and Meyer, Johannes H.},
title = {Are zero-symmetric simple nearrings with identity equiprime?},
journal = {Czechoslovak Mathematical Journal},
pages = {1289--1298},
year = {2024},
volume = {74},
number = {4},
doi = {10.21136/CMJ.2024.0302-24},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0302-24/}
}
TY - JOUR AU - Ke, Wen-Fong AU - Meyer, Johannes H. TI - Are zero-symmetric simple nearrings with identity equiprime? JO - Czechoslovak Mathematical Journal PY - 2024 SP - 1289 EP - 1298 VL - 74 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0302-24/ DO - 10.21136/CMJ.2024.0302-24 LA - en ID - 10_21136_CMJ_2024_0302_24 ER -
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Ke, Wen-Fong; Meyer, Johannes H. Are zero-symmetric simple nearrings with identity equiprime?. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1289-1298. doi: 10.21136/CMJ.2024.0302-24
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