%A JIN Jiu-lin, TENG Wen, ZHU Fu-yang, YOU Tai-jie, QU Yun-yun
%T Maximal subsemigroups of the finite transformation semigroup of weak *Y*-stabilizer
%0 Journal Article
%D 2020
%J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
%R 10.6040/j.issn.1671-9352.0.2019.636
%P 55-62
%V 55
%N 10
%U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_3348.shtml}
%8 2020-10-20
%X 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*.