ON THE HOLOMORPH OF ¼-QUASIGROUPS OF TYPE T1
Date
2014
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
"VALINEX"
Abstract
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.
Description
Keywords
holomorph, multiplication group
Citation
CEBAN, Dina; SYRBU, Parascovia. On the holomorph of ¼-quasigroups of type T1. In: Conference of Mathematical Society of the Republic of Moldova. 3, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, pp. 34-37. ISBN 978-9975-68-244-2.