Choban M.M., Kiriyak L.L.
The topological quasigroups with multiple identities

In this article we describe the topological quasigroups with (n,m)-identities, which are obtained by using isotopies of topological groups. Such quasigroups are called the (n,m)-homogeneous quasigroups. Our main goal is to extend some affirmations of the theory of topological groups on the class of topological (n,m)-homogeneous quasigroups.