Orin Chein, Edgar G. Goodaire (2002)
Commentationes Mathematicae Universitatis Carolinae
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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.
Andrew Wells (2010)
Commentationes Mathematicae Universitatis Carolinae
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In “A class of simple Moufang loops”, Proc. Amer. Math. Soc. (1956), 471–482, Paige used the vector matrix construction over fields to produce simple Moufang loops. The purpose of this paper is to generalize the construction to the class of commutative rings, and examine the Moufang loops arising in this fashion. Specific attention is paid to the construction over the ring of integers modulo four.
V. S. Ramamurthi (1984)
Acta Universitatis Carolinae. Mathematica et Physica
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