Geodesic
Loops and quasigroups: Aspects of current work and prospects for the future
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 415-427
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

This paper gives a brief survey of certain recently developing aspects of the study of loops and quasigroups, focussing on some of the areas that appear to exhibit the best prospects for subsequent research and for applications both inside and outside mathematics.
This paper gives a brief survey of certain recently developing aspects of the study of loops and quasigroups, focussing on some of the areas that appear to exhibit the best prospects for subsequent research and for applications both inside and outside mathematics.
Classification : 20N05, 22A30, 53A60
Keywords: quasigroup; loop; net; web; semisymmetric; Lindenbaum-Tarski duality; multiplication group; loop transversal; loop transversal code; octonions; Cayley numbers; sedenions; vector field; knot; link; quandle; surgery; Conway algebra; split extension; centraliser ring; multiplicity free; fusion rule; statistical dimension; Ising model 
@article{CMUC_2000_41_2_a18,
     author = {Smith, Jonathan D. H.},
     title = {Loops and quasigroups: {Aspects} of current work and prospects for the future},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {415--427},
     year = {2000},
     volume = {41},
     number = {2},
     mrnumber = {1780883},
     zbl = {1038.20055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2000_41_2_a18/}
}
TY  - JOUR
AU  - Smith, Jonathan D. H.
TI  - Loops and quasigroups: Aspects of current work and prospects for the future
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2000
SP  - 415
EP  - 427
VL  - 41
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMUC_2000_41_2_a18/
LA  - en
ID  - CMUC_2000_41_2_a18
ER  - 
%0 Journal Article
%A Smith, Jonathan D. H.
%T Loops and quasigroups: Aspects of current work and prospects for the future
%J Commentationes Mathematicae Universitatis Carolinae
%D 2000
%P 415-427
%V 41
%N 2
%U http://geodesic.mathdoc.fr/item/CMUC_2000_41_2_a18/
%G en
%F CMUC_2000_41_2_a18
Smith, Jonathan D. H. Loops and quasigroups: Aspects of current work and prospects for the future. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 415-427. http://geodesic.mathdoc.fr/item/CMUC_2000_41_2_a18/