On IG-quasigroups
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2023-06-23 07:15
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IZBASH, Vladimir. On IG-quasigroups. In: Conference on Applied and Industrial Mathematics: CAIM 2021, 17-18 septembrie 2021, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2021, Ediţia a 28-a, p. 52.
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Conference on Applied and Industrial Mathematics
Ediţia a 28-a, 2021
Conferința "Conference on Applied and Industrial Mathematics"
Iași, România, Romania, 17-18 septembrie 2021

On IG-quasigroups


Pag. 52-52

Izbash Vladimir
 
Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
 
Disponibil în IBN: 21 septembrie 2022


Rezumat

In this paper we investigate quasigroups isotopic to groups ( quasigroups). Among the isotopes of groups, there are distributive quasigroups, Steiner quasigroups, medial quasigroups [1], quasigroups [2], etc. The need for a detailed study of quasigroups isotopic to groups follows from the fact that, the center of a quasigroup is a quasigroup [3], and therefore the structure of quasigroups is based on quasigroups. The class of quasigroups was studied by the czech mathematicians T. Kerka, P. Nemec. It turns out that their research method is suitable and can be followed when studying quasigroups in general isotopic to groups.