Lev V. Sabinin
Smooth quasigroups and loops: forty-five years of incredible growth

Comment.Math.Univ.Carolinae 41,2 (2000) 377-400.

Abstract:The remarkable development of the theory of smooth quasigroups is surveyed.

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
AMS Subject Classification: 20N05, 53A60, 53C22