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全变换半群的极大逆子半群的两个注记

杨浩波

数学杂志2004,Vol.24Issue(4):375-380,6.
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

杨浩波1

作者信息

  • 1. 杭州师范学院钱江学院,浙江,杭州,310012
  • 折叠

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. ()

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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