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二个半群的半直积为完全单半群的充要条件
引用本文:马合成.二个半群的半直积为完全单半群的充要条件[J].曲阜师范大学学报,2005,31(3):43-44.
作者姓名:马合成
作者单位:山东师范大学理科学报编辑部,250014,山东省济南市
摘    要:在去掉幺元的情况下,讨论了完全单半群的半直积问题.根据代数半群已有的结论,刻画了两个半群的半直积作成完全单半群的充要条件。

关 键 词:半群  完全单半群  半直积  充要条件
文章编号:1001-5337(2005)03-0043-02

The Sufficient and Necessary Condition for the Semidirect Products of two Semigroups to be Completely Simple Semigroups
MA He-cheng.The Sufficient and Necessary Condition for the Semidirect Products of two Semigroups to be Completely Simple Semigroups[J].Journal of Qufu Normal University(Natural Science),2005,31(3):43-44.
Authors:MA He-cheng
Abstract:The author discusses the problem of the semidirect products of completely simple semigroups without identity element.According to the known Algebra semigroup conclusions the author characterizes the sufficient and necessary conditions for the semidirect products of two semigroups to be completely simple semigroups.
Keywords:semigroup  completely simple semigroup  semidirect product  sufficient and necessary condition
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