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Title: Loops and quasigroups: Aspects of current work and prospects for the future (English)
Author: Smith, Jonathan D. H.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 41
Issue: 2
Year: 2000
Pages: 415-427
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Category: math
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Summary: 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. (English)
Keyword: quasigroup
Keyword: loop
Keyword: net
Keyword: web
Keyword: semisymmetric
Keyword: Lindenbaum-Tarski duality
Keyword: multiplication group
Keyword: loop transversal
Keyword: loop transversal code
Keyword: octonions
Keyword: Cayley numbers
Keyword: sedenions
Keyword: vector field
Keyword: knot
Keyword: link
Keyword: quandle
Keyword: surgery
Keyword: Conway algebra
Keyword: split extension
Keyword: centraliser ring
Keyword: multiplicity free
Keyword: fusion rule
Keyword: statistical dimension
Keyword: Ising model
MSC: 20N05
MSC: 22A30
MSC: 53A60
idZBL: Zbl 1038.20055
idMR: MR1780883
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Date available: 2009-01-08T19:03:02Z
Last updated: 2012-04-30
Stable URL: http://hdl.handle.net/10338.dmlcz/119175
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