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