Semigroup Distances of Finite Groupoids

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F14%3A64235" target="_blank" >RIV/60460709:41310/14:64235 - isvavai.cz</a>
Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Semigroup Distances of Finite Groupoids
Popis výsledku v původním jazyce
The simplest cases of non-associative groupoids are presented by groupoids (so called SH-groupoids) having just one non-associative (ordered) triple of elements. In this paper only SH-groupoids having the simplest possible non-associative triple (a, a, a) are investigated. For each positive integer n finite SH-groupoids En(.) generated by at most two elements are constructed and their semigroup distances are described. It is proved that there are finite non-associative groupoids having their semigroup distance equal just to the arbitrary given positive integer n.
Název v anglickém jazyce
Semigroup Distances of Finite Groupoids
Popis výsledku anglicky
The simplest cases of non-associative groupoids are presented by groupoids (so called SH-groupoids) having just one non-associative (ordered) triple of elements. In this paper only SH-groupoids having the simplest possible non-associative triple (a, a, a) are investigated. For each positive integer n finite SH-groupoids En(.) generated by at most two elements are constructed and their semigroup distances are described. It is proved that there are finite non-associative groupoids having their semigroup distance equal just to the arbitrary given positive integer n.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
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Rok uplatnění
2014
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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