有限对称逆半群的极大半个传递子半群  

The Maximal Half-transitive Subsemigroups of the Finite Symmetric Inverse Semigroups

作　　者：祝建欣 杨秀良[1] ZHU Jianxin;YANG Xiuliang(School of Science,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学理学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2019年第1期93-96,共4页Journal of Hangzhou Normal University(Natural Science Edition)

摘　　要：设In是有限集X_n={1,2,…,n}上的对称逆半群.文章给出I_n的所有极大半个传递子半群的构造,进而得到I_n的所有极大半个传递子半群的个数,最后得到每个极大半个传递子半群的基数.Let In be the symmetric inverse semigroup on Xn={1,2,…,n}.The maximal half-transitive subsemigroups of In are described in this paper.Further,the number of maximal half-transitive subsemigroups of In is counted.Finally,the cardinality of every maximal half-transitive subsemigroup is also obtained.

关 键 词：半群 有限对称逆半群 极大半个传递半群 

分 类 号：O152.7[理学—数学]