%0 Journal Article
%T 保E*关系且方向保序严格部分一一变换半群的秩<br>On the rank of semigroup of preserving E relation and orientation strictly partial one-one transformations
%A 龙伟锋
%A 徐
%A 波
%A 龙伟芳
%A 李
%A 湘
%J 福州大学学报(自然科学版)
%D 2018
%R 10.7631/issn.1000-2243.18045
%X 设X为有限集合，E为X上的等价关系，令SOPIE*(X)为X 上的所有保E*关系且方向保序严格部分一一变换构成的半群. 为了讨论此变换半群的秩，引入了新的等价关系从而得到新的等价类. 通过对等价类的分析得到了半群SOPIE*(X)的秩.<br>Let E be an equivalence relation on a finite set X. The semigroup denoted by SOPIE*(X) consisting of all preserving E* relation and orientation strictly partial one-one transformations. In order to discuss the rank of this transformation semigroup，this paper introduces some new equivalence relations to get new equivalence classes. The rank of semigroup SOPIE*(X) is obtained by analyzing the equivalence classes
%K 保E*关系 方向保序 秩&lt
%K br&gt
%K E*-preserving preserving orientation rank
%U http://xbzrb.fzu.edu.cn/ch/reader/view_abstract.aspx?file_no=201806002&flag=1