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Fundamentalnaya i Prikladnaya Matematika, 2009, Volume 15, Issue 3, Pages 113–118 (Mi fpm1230)  
On linear representations of quasigroups

A. A. Gvaramiaa, B. I. Plotkinb

a Abkhazian State University
b Hebrew University of Jerusalem
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Abstract: 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 some analog of this theorem: the introduction of strict homotopies and the move from quasigroups to three-sorted quasigroups.
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 168, Issue 1, Pages 76–79
DOI: https://doi.org/10.1007/s10958-010-9975-0
Bibliographic databases:
UDC: 512.548.7
Language: Russian
Citation: A. A. Gvaramia, B. I. Plotkin, “On linear representations of quasigroups”, Fundam. Prikl. Mat., 15:3 (2009), 113–118; J. Math. Sci., 168:1 (2010), 76–79
Citation in format AMSBIB
\Bibitem{GvaPlo09}
\by A.~A.~Gvaramia, B.~I.~Plotkin
\paper On linear representations of quasigroups
\jour Fundam. Prikl. Mat.
\yr 2009
\vol 15
\issue 3
\pages 113--118
\mathnet{http://mi.mathnet.ru/fpm1230}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2744974}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 168
\issue 1
\pages 76--79
\crossref{https://doi.org/10.1007/s10958-010-9975-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77954031624}
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    		Фундаментальная и прикладная математика
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