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| 全变换半群的极大逆子半群的两个注记 | |
| 引用本文： | 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 |
| 作者姓名： | 杨浩波 |
| 作者单位： | 杭州师范学院钱江学院,浙江,杭州,310012 |
| 基金项目： | SupportedbyagrantoftheNationalScienceFoundation,Zhejiang |
| 摘 要： | 设Tn是集合Xn={1．2，…．n}上的全变换半群．本文证明了Tn的每个极大逆子半群有群核。我们从一个群H一类和Tn的两类子半格，构造出两类新的Tn的极大逆子半群．其结果部分回答了Schein提出的特征Tn的极大逆子半群的公开问题． |
| 关 键 词： | 全变换半群 极大逆子半群 半洛 |
TWO NOTES OF MAXIMAL INVERSE SUBSEMIGROUPS OF FULL TRANSFORMATION SEMIGROUPS |
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| Abstract. TWO NOTES OF MAXIMAL INVERSE SUBSEMIGROUPS OF FULL TRANSFORMATION SEMIGROUPS[J]. Journal of Mathematics, 2004, 24(4): 375-380 | |
| Authors: | Abstract |
| 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. |
| Keywords: | full transformation semigroup maximal inverse subsemigroup semilattice |
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