ON SOME KINDS OF FACTORIZABLE TOPOLOGICAL GROUPS

被引:0
|
作者
Bao, Meng [1 ]
Xu, Xiaoquan [2 ]
机构
[1] Suqian Univ, Sch Sci & Arts, Suqian 263800, Peoples R China
[2] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Peoples R China
来源
HOUSTON JOURNAL OF MATHEMATICS | 2023年 / 49卷 / 03期
基金
中国国家自然科学基金;
关键词
Topological groups; feathered; P M-factorizable; P R-factorizable; S M-factorizable;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Based on R -factorizable topological groups and M -factorizable topological groups, we introduce four classes of factorizabilities on topological groups, named P M -factorizability, Pm- factorizability, S M -factorizabil- ity and PS M -factorizability, respectively. Then it is shown that a topological group G is Pm- factorizable iff G is P R -factorizable, and G is PS M - factorizable iff G is P M -factorizable. Some properties of these classes of groups are investigated.
引用
收藏
页码:677 / 691
页数:15
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