Geodesic
Smooth quasigroups and loops: forty-five years of incredible growth
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 377-400

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The remarkable development of the theory of smooth quasigroups is surveyed.
Classification : 20N05, 22A30, 53A60, 53C05, 53C22, 53C35
Keywords: smooth quasigroups and loops; odules; loopuscular and odular algebras; Bol loops; Moufang loops; Bol algebras; Mal'cev algebras; nonlinear geometric algebra; nonassociative geometry; F-quasigroups; transsymmetric spaces; hyperalgebra; hyporeductivity; pseudoreductivity 
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Sabinin, Lev V. Smooth quasigroups and loops: forty-five years of incredible growth. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 377-400. http://geodesic.mathdoc.fr/item/CMUC_2000__41_2_a14/