The translational hulls of the direct products of monogenic semigroups and some special semigroups
The translational hulls of direct products of cyclic semigroups,rectangular bands,and a special eventually regular semigroup are studied.It is proved that the translational hulls of the direct product of monogenic semigroups and rectangular bands and the direct product of the translational hulls of these two semigroups are isomorphic.It is also proved that the translational hulls of the direct product of cyclic groups and special eventually regular semig-roups,as well as the direct product of the translational hulls of these two semigroups,are isomorphic.