Bol loop actions
Commentationes Mathematicae Universitatis Carolinae (2000)
- Volume: 41, Issue: 2, page 405-408
- ISSN: 0010-2628
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topSbitneva, Larissa V.. "Bol loop actions." Commentationes Mathematicae Universitatis Carolinae 41.2 (2000): 405-408. <http://eudml.org/doc/22494>.
@article{Sbitneva2000,
abstract = {The notions of left Bol and Bol-Bruck actions are introduced. A purely algebraic analogue of a Nono family (Lie triple family), the so called Sabinin-Nono family, is given. It is shown that any Sabinin-Nono family is a left Bol-Bruck action. Finally it is proved that any local Nono family is a local left Bol-Bruck action. On general matters see [L.V. Sabinin 91, 99].},
author = {Sbitneva, Larissa V.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Bol loop action; Lie triple family; Nono family; smooth left Bol loops},
language = {eng},
number = {2},
pages = {405-408},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Bol loop actions},
url = {http://eudml.org/doc/22494},
volume = {41},
year = {2000},
}
TY - JOUR
AU - Sbitneva, Larissa V.
TI - Bol loop actions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 2
SP - 405
EP - 408
AB - The notions of left Bol and Bol-Bruck actions are introduced. A purely algebraic analogue of a Nono family (Lie triple family), the so called Sabinin-Nono family, is given. It is shown that any Sabinin-Nono family is a left Bol-Bruck action. Finally it is proved that any local Nono family is a local left Bol-Bruck action. On general matters see [L.V. Sabinin 91, 99].
LA - eng
KW - Bol loop action; Lie triple family; Nono family; smooth left Bol loops
UR - http://eudml.org/doc/22494
ER -
References
top- Sur les familles triples locales de transformations locales de Lie, J. Sci. Hiroshima Univ., Ser. A-I Math. 25 (1961), 357-366 MR 28 (1964) #2174b. (1961) Zbl0113.15801MR0158953
- Analytic Quasigroups and Geometry (Russian), Monograph Friendship of Nations University Press Moscow (1991), 112 pp. (1991) MR1284471
- Smooth Quasigroups and Loops, Kluwer Academic Publishers Dordrecht, The Netherlands (1999), xvi + 249 pp. (1999) Zbl0939.20064MR1727714
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