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Symmetry 2018, 10(8), 322; https://doi.org/10.3390/sym10080322

A Historical Perspective of the Theory of Isotopisms

1
Department Applied Mathematics I, University of Sevilla, 41004 Seville, Spain
2
Department Geometry and Topology, University of Sevilla, 41004 Seville, Spain
*
Author to whom correspondence should be addressed.
Received: 23 May 2018 / Revised: 30 July 2018 / Accepted: 31 July 2018 / Published: 3 August 2018
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Abstract

In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras and quasigroups as a generalization of the classical theory of isomorphisms in order to study and classify such structures according to more general symmetries. Since then, a wide range of applications have arisen in the literature concerning the classification and enumeration of different algebraic and combinatorial structures according to their isotopism classes. In spite of that, there does not exist any contribution dealing with the origin and development of such a theory. This paper is a first approach in this regard. View Full-Text
Keywords: isotopism; classification; non-associative algebra; quasigroup; Latin square isotopism; classification; non-associative algebra; quasigroup; Latin square
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Falcón, R.M.; Falcón, Ó.J.; Núñez, J. A Historical Perspective of the Theory of Isotopisms. Symmetry 2018, 10, 322.

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