On the holomorph of ¼-quasigroups of type T1
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2024-01-01 20:17
SM ISO690:2012
CEBAN, Dina, SYRBU, Parascovia. On the holomorph of ¼-quasigroups of type T1. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 34-37. ISBN 978-9975-68-244-2.
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Conference of Mathematical Society of the Republic of Moldova
3, 2014
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 19-23 august 2014

On the holomorph of ¼-quasigroups of type T1

Pag. 34-37

Ceban Dina, Syrbu Parascovia
 
Moldova State University
 
 
Disponibil în IBN: 8 octombrie 2017


Rezumat

Quasigroups satisfying the identity x¢(x¢(x¢y)) = y are called ¼-quasigroups of type T1. Necessary and su±cient conditions for the holomorph of a ¼-quasigroup of type T1 to be a ¼-quasigroup of type T1 are established. Also, it is proved that the left (right) multiplication group of a ¼-quasigroup of type T1 is isomorphic to some normal subgroup of the left (right) multiplication group of its holomorph, respectively.

Cuvinte-cheie
¼-quasigroup of type T1, holomorph, multiplication group,

normal subgroup