On parastrophes of quasigroup identities and corresponding varieties and trusses
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KRAINICHUK, Halyna. On parastrophes of quasigroup identities and corresponding varieties and trusses. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 101-104. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

On parastrophes of quasigroup identities and corresponding varieties and trusses

Pag. 101-104

Krainichuk Halyna
 
Vasyl Stus Donetsk National University
 
Disponibil în IBN: 3 octombrie 2017


Rezumat

V.D. Belousov [1] classified minimal nontrivial quasigroup identities up to parastrophically primary equivalency [2] and obtained seven identities. Here, the kinds of trusses of the corresponding trusses of varieties are defined. Identities for each of the varieties are found. Identities defining semi-symmetric trusses are described. The existence of these classes was considered a problem [5].

Cuvinte-cheie
quasigroup, loop, parastrophe, identity, variety,

truss