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一类拓扑空间的闭自映射半群
引用本文:裴惠生.一类拓扑空间的闭自映射半群[J].信阳师范学院学报(自然科学版),2005,18(3):249-251.
作者姓名:裴惠生
作者单位:信阳师范学院数学与信息科学学院,河南信阳,464000
摘    要:考察了由一个等价关系E所确定的拓扑空间X上的闭自映射半群,完全刻画了这个半群的Green等价关系,并对这个半群的秩进行了讨论.

关 键 词:变换半群  拓扑空间  正则半群
文章编号:1003-0972(2005)03-0249-03
收稿时间:2005-02-18
修稿时间:2005-02-18

A semigroup of closed selfmaps of a kind of topological spaces
PEI Hui-sheng.A semigroup of closed selfmaps of a kind of topological spaces[J].Journal of Xinyang Teachers College(Natural Science Edition),2005,18(3):249-251.
Authors:PEI Hui-sheng
Abstract:The semigroup of closed selfmaps of a kind of topological spaces determined by an equivalence is observed in this paper. Green's equivalences on this semigroup are characterized completely while the rank of the semigroup is also discussed.
Keywords:transformation semigroups  topological spaces  regular semigroups
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