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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 6, Pages 33–39
(Mi fpm1156)
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This article is cited in 1 scientific paper (total in 1 paper)
Groupoids with the identity defining the commutative Moufang loops
G. B. Belyavskayaa, A. Kh. Tabarovb a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Kishinev
b Tajik State University, Dushanbe
Abstract:
It is known that in the class of loops the identity $xy\cdot xz=x^2\cdot yz$ defines the commutative Moufang loops. In the article, we consider groupoids with this identity and establish properties of some classes of such groupoids.
Citation:
G. B. Belyavskaya, A. Kh. Tabarov, “Groupoids with the identity defining the commutative Moufang loops”, Fundam. Prikl. Mat., 14:6 (2008), 33–39; J. Math. Sci., 164:1 (2010), 21–25
Linking options:
https://www.mathnet.ru/eng/fpm1156 https://www.mathnet.ru/eng/fpm/v14/i6/p33
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Abstract page: | 336 | Full-text PDF : | 131 | References: | 46 | First page: | 1 |
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