On linear representations of quasigroups

For homotopies of quasigroups, an analog of the fundamental theorem on homomorphisms does not hold in general. In this paper, we consider two approaches that allow one to obtain an analog of this theorem: the introduction of strict homotopies and the move from quasigroups to three-sorted quasigroups...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2010-07, Vol.168 (1), p.76-79
Hauptverfasser:	Gvaramia, A. A., Plotkin, B. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	For homotopies of quasigroups, an analog of the fundamental theorem on homomorphisms does not hold in general. In this paper, we consider two approaches that allow one to obtain an analog of this theorem: the introduction of strict homotopies and the move from quasigroups to three-sorted quasigroups.
ISSN:	1072-3374 1573-8795
DOI:	10.1007/s10958-010-9975-0