RO  EN
IMI/Publicaţii/BASM/Ediţii/BASM n.2 (21), 1996/

Theory of quasigroups: nuclei, center and commutator. (Russian)

Authors: Beliavscaia Galina

Abstract

The article is a survey of results of the general quasigroup theory with respect to such concepts as nuclei, the centre, associants, in particularly, the commutant of a quasigroup. It includes also the results concerning groups of regular mappings, linearity of different types and the abelian quasigroups (i.e. $T$-quasigroups). The survey contains the following sections: groups of regular mappings; nuclei and transitivity; linear, quasi-linear quasigroups and nuclei; the centre of a quasigroup, its connection with the $T$-quasigroups; associants, the commutant and verbal congruences of a quasigroup.

Institute of Mathematics Academy of Sciences of Moldova
Academy str. 5, Kishinev MD-2028, Moldova