Smooth quasigroups and loops: forty-five years of incredible growth

Lev Vasilʹevich Sabinin

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 2, page 377-400
  • ISSN: 0010-2628

Abstract

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

How to cite

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Sabinin, Lev Vasilʹevich. "Smooth quasigroups and loops: forty-five years of incredible growth." Commentationes Mathematicae Universitatis Carolinae 41.2 (2000): 377-400. <http://eudml.org/doc/248650>.

@article{Sabinin2000,
abstract = {The remarkable development of the theory of smooth quasigroups is surveyed.},
author = {Sabinin, Lev Vasilʹevich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
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; smooth quasigroups; smooth loops; transsymmetric spaces; odules; loopuscular algebras; odular algebras; Bol loops; Moufang loops; nonassociative geometry; hyperalgebras; hyporeductivity; pseudoreductivity},
language = {eng},
number = {2},
pages = {377-400},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Smooth quasigroups and loops: forty-five years of incredible growth},
url = {http://eudml.org/doc/248650},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Sabinin, Lev Vasilʹevich
TI - Smooth quasigroups and loops: forty-five years of incredible growth
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 2
SP - 377
EP - 400
AB - The remarkable development of the theory of smooth quasigroups is surveyed.
LA - eng
KW - 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; smooth quasigroups; smooth loops; transsymmetric spaces; odules; loopuscular algebras; odular algebras; Bol loops; Moufang loops; nonassociative geometry; hyperalgebras; hyporeductivity; pseudoreductivity
UR - http://eudml.org/doc/248650
ER -

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