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
作者信息
- 1. 西南大学数学与统计学院,重庆400715
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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/并Key words
completely simple semigroup/normal set/union引用本文复制引用
出版年
2010