Smooth quasigroups and loops: forty-five years of incredible growth
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 377-400
The remarkable development of the theory of smooth quasigroups is surveyed.
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
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
@article{CMUC_2000_41_2_a14,
author = {Sabinin, Lev V.},
title = {Smooth quasigroups and loops: forty-five years of incredible growth},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {377--400},
year = {2000},
volume = {41},
number = {2},
mrnumber = {1780879},
zbl = {1038.20051},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2000_41_2_a14/}
}
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/