On commutative A-loops of order pq
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F14%3A64839" target="_blank" >RIV/60460709:41310/14:64839 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0219498815500413" target="_blank" >http://dx.doi.org/10.1142/S0219498815500413</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219498815500413" target="_blank" >10.1142/S0219498815500413</a>
Alternative languages
Result language
angličtina
Original language name
On commutative A-loops of order pq
Original language description
We study a construction introduced by Drápal, giving rise to commutative A-loops of order kn where k and n are odd numbers. We show which combinations of k and n are possible if the construction is based on a field or on a cyclic group. We conclude thatif p and q are odd primes, there exists a non-associative commutative A-loop of order pq if and only if p divides q2 - 1 and such a loop is most probably unique.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
ISSN
0219-4988
e-ISSN
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Volume of the periodical
14
Issue of the periodical within the volume
03
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
20
Pages from-to
1-20
UT code for WoS article
000351090600016
EID of the result in the Scopus database
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