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Fundamentalnaya i Prikladnaya Matematika, 1997, Volume 3, Issue 3, Pages 715–737
(Mi fpm239)
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This article is cited in 1 scientific paper (total in 1 paper)
Assiociants and the commutant of a quasigroup
G. B. Belyavskaya Institute of Mathematics, Academy of Sciences of Moldova
Abstract:
Six normal congruences called associants or commutator-associants are defined in a quasigroup $Q(\cdot)$ by means of associators of two types and commutators. It is proved that these congruences are verbal congruences corresponding to different types of quasigroups
linear over groups. As a consequence a description of generators of the quasigroup commutant is obtained. Behaviour of the considered congruences under isotopy of quasigroups and in the left-distributive (distributive) quasigroups is investigated.
Received: 01.11.1995
Citation:
G. B. Belyavskaya, “Assiociants and the commutant of a quasigroup”, Fundam. Prikl. Mat., 3:3 (1997), 715–737
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https://www.mathnet.ru/eng/fpm239 https://www.mathnet.ru/eng/fpm/v3/i3/p715
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Abstract page: | 305 | Full-text PDF : | 126 | First page: | 2 |
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