循环半群直积的平移壳  

Translational hull of direct products of monogenic 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）》2023年第2期40-42,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：研究循环半群直积的平移壳,并给出其结构;证明两个无限循环半群直积的平移壳和循环半群平移壳的直积是同构的;还证明两个无限循环半群直积的平移壳不是循环半群,但循环群在满足一定条件时,其直积的平移壳可以是循环群.The translation hulls of direct products of the monogenic semigroups are studied,and the structures of the translation hulls are given.It is proved that the translational hull of the direct product of two infinite monogenic semigroups and the direct product of the translational hulls of these two monogenic semigroups are isomorphic.Translational hull of the direct products of two infinite monogenic semigroups is not a monogenic semigroup.However,when cyclic groups satisfy certain conditions,the translational hull of their direct product can be a cyclic group.

关 键 词：平移壳 循环半群 直积 

分 类 号：O152.7[理学—数学]