Maximal Regular Subsemibands of the Finite Order-Preserving Partial Transformation Semigroups PO(n, r)
Maximal Regular Subsemibands of the Finite Order-Preserving Partial Transformation Semigroups PO(n, r)
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有限保序部分变换半群PO(n,r)的最大正则子半带
DOI：
10.1007/s40840-016-0344-0
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发表时间：
2017
影响因子：
1.2
通讯作者：
Hu Huabi
中科院分区：
文献类型：
--
作者：
Zhao Ping;You Taijie;Hu Huabi
设是有限集上所有保序部分变换的半群。准备好了。本文研究了极大正则子半群及其极大正则子半带。首先，我们完整地描述了半群的极大正则子半群，对于。其次，证明了，对于，半群的任何极大正则子半群是半带，并且得到了，对于，半群的极大正则子半群与极大正则子半带重合。最后，我们得到了半群的极大正则子半带的完全分类。
Letbe the semigroup of all order-preserving partial transformations on the finite set. For, set. In this paper, we investigate the maximal regular subsemigroups and the maximal regular subsemibands of the semigroup. First, we completely describe the maximal regular subsemigroups of the semigroup, for. Secondly, we show that, for, any maximal regular subsemigroup of the semigroupis a semiband and obtain that the maximal regular subsemigroups and the maximal regular subsemibands of the semigroupcoincide, for. Finally, we obtain the complete classification of maximal regular subsemibands of the semigroup.