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Preprint . 2009
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Article . 2008
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https://dx.doi.org/10.48550/ar...
Article . 2009
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On prolongations of quasigroups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 Jun 2008Embargo end date: 01 Jan 2009Publisher:arXiv
Authors: Deriyenko, I.I.; Dudek, W.A.;

doi: 10.48550/arxiv.0902.3812

arXiv: http://arxiv.org/abs/0902.3812

On prolongations of quasigroups

Abstract

We prove that any quasigroup admissing complete or quasicomplete mapping has a prolongation to a quasigroup having one element more.

12 pages

Related Organizations
Keywords

Latin square, FOS: Mathematics, Mathematics - Combinatorics, 20N05, Group Theory (math.GR), Combinatorics (math.CO), quasigroup, prolongation of quasigroup, Mathematics - Group Theory

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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