Loops and quasigroups: Aspects of current work and prospects for the future

Jonathan D. H. Smith

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 2, page 415-427
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Smith, Jonathan D. H.. "Loops and quasigroups: Aspects of current work and prospects for the future." Commentationes Mathematicae Universitatis Carolinae 41.2 (2000): 415-427. <http://eudml.org/doc/248637>.

@article{Smith2000,
abstract = {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.},
author = {Smith, Jonathan D. H.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
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; quasigroups; loops; nets; webs; knots; quandles},
language = {eng},
number = {2},
pages = {415-427},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Loops and quasigroups: Aspects of current work and prospects for the future},
url = {http://eudml.org/doc/248637},
volume = {41},
year = {2000},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 2
SP - 415
EP - 427
AB - 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.
LA - eng
KW - 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; quasigroups; loops; nets; webs; knots; quandles
UR - http://eudml.org/doc/248637
ER -

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