Semisymmetric Quasigroups [Articol]

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2024

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Abstract

A quasigroup satisfying the identity x(yx) = y is called semisymmetric. In this article, the isotopy of semisimmetric quasigroups is studied. A condition is found when a loop, isotopic to a semisymmetric quasigroup, is a semisymmetric loop.

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quasigroup, loop, isotopy, semisymmetric quasigroups

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DIDURIK, Natalia N. and Victor A. SHCHERBACOV. Semisymmetric Quasigroups. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 61-64. ISBN 978-9975-68-515-3

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