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

作　　者：黎宏伟[1] 王丽 Li Hongwei;Wang Li(Department of Mathematics,Suqian University,Suqian 223800,Jiangsu,China)

机构地区：[1]宿迁学院数学系,江苏宿迁223800

出　　处：《江苏师范大学学报（自然科学版）》2024年第2期39-41,共3页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(12101441)。

摘　　要：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.

关 键 词：平移壳 循环半群 直积 

分 类 号：O152.7[理学—数学]