《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (10): 55-62.

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### 有限弱Y-稳定变换半群的极大子半群

1. 1.贵州师范大学数学科学学院, 贵州 贵阳 550001;2.贵州财经大学数学与统计学院, 贵州 贵阳 550025
• 出版日期:2020-10-20 发布日期:2020-10-07
• 作者简介:金久林(1991— ), 男, 博士研究生, 研究方向为信息代数、半群代数及其应用. E-mail:JinJiuLin2016@163.com*通信作者简介:游泰杰(1959— ), 男, 硕士, 教授, 博士生导师, 研究方向为信息代数、半群代数及其应用. E-mail:youtaijie1111@163.com
• 基金资助:
贵州省一流建设学科计划资助项目(C420001);贵州省科学技术基金资助项目(黔科合基础［2019］1221号)

### Maximal subsemigroups of the finite transformation semigroup of weak Y-stabilizer

JIN Jiu-lin1, TENG Wen1,2, ZHU Fu-yang1, YOU Tai-jie1*, QU Yun-yun1

1. 1. School of Mathematics Science, Guizhou Normal University, Guiyang 550001, Guizhou, China;
2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, Guizhou, China
• Online:2020-10-20 Published:2020-10-07

Abstract: Let X be a non-empty set. Denote by T (X)the full transformation semigroup on X. Given a non-empty subset Y of X, letT(X,Y)={α∈T (X):Yα⊆Y}, and call it the transformation semigroup of weak Y-stabilizer. In this paper, we show that structure and complete classification of maximal subsemigroups of T(X,Y)whenever Y is a proper non-singleton subset of finite set X.

• O152.7
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