On the embedding Menger n-groupoids in n-ary topological groups Boujouf Hamza

In [1] regilhof proved that the binary cancellative ,abelian, locally compact semigroup when all of whose intern translations are open and continuous, is topologically embeddable in a locally compact binary topological group as an open subsemigroup. in this paper we prove a similar result for menger n-groupoid x, () with the topology τ_x . and we concluded the continuity of the n-ary operation ( ) in all arguments in topology τ_x .