| Topological inverse semigroups |
| |
| 作者姓名： | ZHUYongwen |
| |
| 作者单位： | DepartmentofMathematicsandInformationScience,YantaiUniversity,YantaiCity264005,P.R.China |
| |
| 摘 要： | That the projective limit of any projective system of compact inverse semigroups is also a compact inverse semigroup,the injective limit of any injective system of inverse semigroups is also an inverse semigroup, and that a compact inversesemigroup is topologically isomorphic to a strict projective limit of compact metric inverse semigroups are proved. It is alsodemonstrated that Horn (S,T) is a topological inverse semigroup provided that S or T is a topological inverse semigroup withsome other conditions. Being proved by means of the combination of topological semigroup theory with inverse semigroup theory,all these results generalize the corresponding ones related to topological semigroups or topological groups.
|
| 关 键 词： | 拓扑逆半群 投影极限 内射极限 紧密拓扑半群 |
Topological inverse semigroups |
| |
| ZHUYongwen.Topological inverse semigroups[J].Journal of Chongqing University,2004,3(1):82-85. |
| |
| Authors: | ZHU Yongwen |
| |
| Abstract: | That the projective limit of any projective system of compact inverse semigroups is also a compact inverse semigroup,the injective limit of any injective system of inverse semigroups is also an inverse semigroup, and that a compact inverse semigroup is topologically isomorphic to a strict projective limit of compact metric inverse semigroups are proved. It is also demonstrated that Horn (S,T) is a topological inverse semigroup provided that S or T is a topological inverse semigroup with some other conditions. Being proved by means of the combination of topological semigroup theory with inverse semigroup theory,all these results generalize the corresponding ones related to topological semigroups or topological groups. |
| |
| Keywords: | topological inverse semigroup compact projective limit injective limit |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《重庆大学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《重庆大学学报(英文版)》下载免费的PDF全文 |
