FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 6, PAGES 33-39

Groupoids with the identity defining the commutative Moufang loops

G. B. Belyavskaya
A. Kh. Tabarov

Abstract

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It is known that in the class of loops the identity $xy$× xz = x² × yz defines the commutative Moufang loops. In the article, we consider groupoids with this identity and establish properties of some classes of such groupoids.

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Last modified: June 4, 2009