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Groupoids with the identity defining the commutative Moufang loops |
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| Authors: | G B Belyavskaya and A Kh Tabarov |
| Institution: | (1) Space Science Dept., Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire, OX11 0QX, U.K;(2) Institute of Theoretical Astrophysics, University of Oslo, Oslo, Norway;(3) Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge, CB3 9EW, U.K;(4) Nasa Goddard Space Flight Center, Greenbelt, MD, 20771, U.S.A |
| Abstract: | It is known that in the class of loops the identity xy · xz = x 2 · 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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