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Commutators for near-rings: Huq \({\neq}\) Smith

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Abstract

It is shown that the Huq and the Smith commutators do not coincide in the variety of near-rings.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7700, South Africa

    George Janelidze

  2. MTA Rényi Institute of Mathematics, H-1364, Budapest, Pf. 127, Hungary

    László Márki

  3. Department of Mathematics and Applied Mathematics, Nelson Mandela Metropolitan University, P.O.Box 77000, Port Elizabeth, 6031, South Africa

    Stefan Veldsman

Authors
  1. George Janelidze
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  2. László Márki
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  3. Stefan Veldsman
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Corresponding author

Correspondence to László Márki.

Additional information

Presented by P. P. Pálfy.

This article is dedicated to the memory of Ervin Fried

The research of the first author was partially supported by the South African NRF. The research of the second author was partially supported by the Hungarian National Foundation for Scientific Research grant no. K101515.

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Janelidze, G., Márki, L. & Veldsman, S. Commutators for near-rings: Huq \({\neq}\) Smith. Algebra Univers. 76, 223–229 (2016). https://doi.org/10.1007/s00012-016-0398-8

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  • DOI: https://doi.org/10.1007/s00012-016-0398-8

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