Flexible Latin directed triple systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10368800" target="_blank" >RIV/00216208:11320/17:10368800 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Flexible 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 and we call these Latin directed triple systems. The quasigroups associated with Steiner and Mendelsohn triple systems satisfy the flexible law x.(y.x) = (x.y).x but those associated with Latin directed triple systems need not. In a previous paper, [Discrete Mathematics 312 (2012), 597-607], we studied non-flexible Latin directed triple systems. In this paper we turn our attention to flexible Latin directed triple systems
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/VF20102015006" target="_blank" >VF20102015006: Deciphering and decoding of digital tracks</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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