西南大学学报(自然科学版)2010,Vol.32Issue(2) :109-112.

能够表示成真正规子集并的完全单半群

Completely Simple Semigroups Which Can Be Represented by the Union of Their Proper Normal Sets

裴俊
西南大学学报(自然科学版)2010,Vol.32Issue(2) :109-112.

能够表示成真正规子集并的完全单半群

Completely Simple Semigroups Which Can Be Represented by the Union of Their Proper Normal Sets

裴俊1
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作者信息

  • 1. 西南大学数学与统计学院,重庆400715
  • 折叠

摘要

证明了完全单半群能够表示为它的3个(或4个)真正规子集并的充分必要条件是其结构群以Klein四元群Z_2×Z_2(或Z_3×Z_3)为其同态象.

Abstract

In this paper,we show that a completely simple semigroup can be represented as the union of its3(or 4)normal subsets if and only if Z_2×Z_2(or Z_3×Z_3)is its homomorphic image and get a generalised result of corresponding results in groups.

关键词

完全单半群/正规子集/

Key words

completely simple semigroup/normal set/union

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出版年

2010
西南大学学报(自然科学版)
西南大学学报编辑部

西南大学学报(自然科学版)

CSTPCDCSCD北大核心
影响因子:0.825
ISSN:1673-9868
被引量4
参考文献量3
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