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关于两个完全单半群的Malcev积的注
A Note on the Malcev Products of Two Completely Simple Semigroups

DOI: 10.12677/PM.2021.114058, PP. 454-460

Keywords: 完全π-正则半群,Malcev积,完全单半群
Completely π-Regular Semigroup
, Malcev Product, Completely Simple Semigroup

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Abstract:

论文是对第二作者关于完全π-正则半群若干子类的Malcev积的研究工作的继续。在完全π-正则半群范围内,刻画完全单半群、幂零半群的Malcev积,重点是两个完全单半群的Malcev积。论文给出了若干Malcev积的包含关系,注重用具体半群对结论进行说明。
This is a continuation of the work of the second author on the Malcev products of some classes of epigroups. Under the universal of epigroups, we proceed to characterize the Malcev products of classes of completely simple semigroups and of nil-semigroups. The descriptions of the Malcev products of completely simple semigroups are the focuses of the thesis. The information about the set inclusion relations among them is also provided, and we put more emphasis on concrete semigroups as examples to illustrate these statements.

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