Jan Gałuszka, “Codes of groupoids with one-sided quasigroup conditions”, Algebra Discrete Math., 2009, Issue 2,Pages <nobr>27

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RESEARCH ARTICLE

Codes of groupoids with one-sided quasigroup conditions

Jan Gałuszka

Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44–100 Gliwice, Poland

Abstract: We propose a method of description of quasigroup conditions defining one-sided quasigroup classes and one-sided quasigroup varieties by number codes. This method can be used for all one-sided quasigroups. In order to construct the code words we use the technique of Steinitz numbers.

Keywords: groupoid, quasigroup, right quasigroup, left quasigroup, one-sided quasigroup, cycle type description.

MSC: 05A05, 05B15, 20N02, 20N05

Received: 15.05.2009
Revised: 12.10.2009

Language: English