Assiociants and the commutant of a quasigroup

Six normal congruences called associants or commutator-associants are defined in a quasigroup $Q(\cdot)$ by means of associators of two types and commutators. It is proved that these congruences are verbal congruences corresponding to different types of quasigroups linear over groups. As a consequence a description of generators of the quasigroup commutant is obtained. Behaviour of the considered congruences under isotopy of quasigroups and in the left-distributive (distributive) quasigroups is investigated.