循环半群与一些特殊半群直积的平移壳

The translational hulls of the direct products of monogenic semigroups and some special semigroups

研究了循环半群和矩形带以及一种特殊的毕竟正则半群直积的平移壳;证明了循环半群与矩形带的直积的平移壳和这两个半群的平移壳的直积是同构的;同时,证明了循环半群与特殊的毕竟正则半群的直积的平移壳和这两个半群的平移壳的直积也是同构的.

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 semigroups,as well as the direct product of the translational hulls of these two semigroups,are isomorphic.