Authors: Izbaş Vladimir, Prodan N.
Abstract
In this paper it is proved that there exists a $D$-groupoid $Q(\cdot )$ and systems of identities $\Sigma $ such that $Q(\cdot )$ can not be represented as a homomorphic image of a quasigroup $G(\circ )$ if $Q(\cdot )$ and $G(\circ )$ satisfy the identities of $\Sigma $. Also the smallest sub@-$D$@-groupoid $K$ is constructed such that $Q/K(\ast )$
is a group.
Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău, MD-2028 Moldova