Geodesic
Moufang loops arising from Zorn vector matrix algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 371-388.

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In ``A class of simple Moufang loops'', Proc. Amer. Math. Soc. {\bf 7} (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.
Classification : 20N05
Keywords: Zorn vector matrix; Moufang loop; Paige loop 
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     title = {Moufang loops arising from {Zorn} vector matrix algebras},
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Wells, Andrew. Moufang loops arising from Zorn vector matrix algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 371-388. http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a19/