左(右)强拓扑回转群及其性质  

Left(Right)strongly topological gyrogroups and its properties

作　　者：施婷婷 鲍猛 林福财 SHI Tingting;BAO Meng;LIN Fucai(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China;Lab of Granular Computing,Minnan Normal University,Zhangzhou,Fujian 363000,China;College of Mathematics,Sichuan University,Chengdu,Sichuan 610064,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000 [2]闽南师范大学粒计算及其应用重点实验室,福建漳州363000 [3]四川大学数学学院,四川成都610064

出　　处：《闽南师范大学学报（自然科学版）》2021年第1期32-36,共5页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金面上项目(11571158);福建省自然科学基金重点项目(2020J02043);福建省教育厅中青年教师教育项目(JAT190397)。

摘　　要：拓扑回转群是近年来研究的热点,我们先给出左(右)拓扑回转群和左(右)强拓扑回转群的定义,并研究左(右)拓扑回转群的基本性质,最后证明了左(右)强拓扑回转群的相关结论。特别是,我们证明了每一个可数Hausdorff左(右)强拓扑回转群是由闭离散子集生成的.Topological gyrogroups is a hot topic inrecent years.We define the concepts of left(right)topological gyrogroups and left(right)strongly topological gyrogroups.and study the basic properties of the left(right)topological gyrogroups,Finally,the related conclusions of left(right)strongly topological gyrogroups are proved.In particular,we prove that every Hausdorff left(right)strongly topological gyrogroups is generated by a closed discrete subset.

关 键 词：左(右)强拓扑回转群 闭离散子集 回转群 

分 类 号：O189[理学—数学]