数学杂志2004,Vol.24Issue(4):375-380,6.
全变换半群的极大逆子半群的两个注记
TWO NOTES OF MAXIMAL INVERSE SUBSEMIGROUPS OF FULL TRANSFORMATION SEMIGROUPS
摘要
Abstract
Let Tn be the full transformation semigroup on the set Xn = { 1,2,… ,n}. In this paper we show that every maximal inverse subsemigroup of Tn has a group kernel. We construct two new classes of maximal subsemigroups of Tn from a group -class and some subsemilattices of Tn, which are partial answers to the Schein's problem of characterizing the maximal inverse subsemigroups of Tn.关键词
全变换半群/极大逆子半群/半格Key words
full transformation semigroup/maximal inverse subsemigroup/semilattice分类
数理科学引用本文复制引用
杨浩波..全变换半群的极大逆子半群的两个注记[J].数学杂志,2004,24(4):375-380,6.基金项目
Supported by a grant of the National Science Foundation, Zhejiang. ()