Distributive and Anti-distributive Mendelsohn Triple Systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10331460" target="_blank" >RIV/00216208:11320/16:10331460 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4153/CMB-2015-053-2" target="_blank" >http://dx.doi.org/10.4153/CMB-2015-053-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4153/CMB-2015-053-2" target="_blank" >10.4153/CMB-2015-053-2</a>

Result language
angličtina
Original language name
Distributive and Anti-distributive Mendelsohn Triple Systems
Original language description
We prove that the existence spectrum of Mendelsohn triple systems whose associated quasigroups satisfy distributivity corresponds to the Loeschian numbers, and provide some enumeration results. We do this by considering a description of the quasigroups in terms of commutative Moufang loops. In addition we provide constructions of Mendelsohn quasigroups that fail distributivity for as many combinations of elements as possible. These systems are analogues of Hall triple systems and anti-mitre Steiner triple systems respectively.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA13-01832S" target="_blank" >GA13-01832S: General algebra and its connections to computer science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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