Latin directed triple systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10126334" target="_blank" >RIV/00216208:11320/12:10126334 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.disc.2011.04.025" target="_blank" >http://dx.doi.org/10.1016/j.disc.2011.04.025</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.disc.2011.04.025" target="_blank" >10.1016/j.disc.2011.04.025</a>

Result language
angličtina
Original language name
Latin directed triple systems
Original language description
It is well known that, given a Steiner triple system, a quasigroup can be formed by defining an operation by the identities x . x = x and x . y = z, where z is the third point in the block containing the pair {x, y}. The same is true for a Mendelsohn triple system, where the pair (x, y) is considered to be ordered. But it is not true in general for directed triple systems. However, directed triple systems which form quasigroups under this operation do exist. We call these Latin directed triple systems,and in this paper we begin the study of their existence and properties.
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
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Project
<a href="/en/project/GA201%2F09%2F0296" target="_blank" >GA201/09/0296: Nonassociativity and multilinearity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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