Geodesic
Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 1, pp. 1-8

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We investigate finite Moufang loops with a unique nonidentity commutator which are not associative, but all of whose proper subloops are associative. Curiously, perhaps, such loops turn out to be ``ring alternative'', in the sense that their loop rings are alternative rings.
Classification : 17D05, 20N05
Keywords: Moufang loops; RA loops; alternative rings; minimal nonassociativity 
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     title = {Minimally nonassociative {Moufang} loops with a unique nonidentity commutator are ring alternative},
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Chein, Orin; Goodaire, Edgar G. Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/CMUC_2002__43_1_a0/