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正规列幂半群的刻画与Clifford半群的幂半群
引用本文:邵海琴,权双燕,王贵军. 正规列幂半群的刻画与Clifford半群的幂半群[J]. 陕西理工学院学报(自然科学版), 2006, 22(3): 12-14
作者姓名:邵海琴  权双燕  王贵军
作者单位:1. 天水师范学院,数信学院数学系,甘肃,天水,741001
2. 陕西理工学院,数学系,陕西,汉中,723001
摘    要:首先在正规子群与同余的关系的基础上,采用类比的方法,从同余的角度给出了群的正规列幂半群的另一种刻画。其次,根据Clifford半群是群强半格的特殊结构,得到了Clifford半群的幂半群的两个重要的结构定理。

关 键 词:幂半群  正规列  同余列  幂半群强半格  幂群强半格
文章编号:1673-2944(2006)03-0012-03
收稿时间:2006-05-19
修稿时间:2006-05-19

The depiction of power semigroups over normal series and power semigroups of Clifford semigroup
SHAO Hai-qin,QUAN Shuang-yan,WANG Gui-jun. The depiction of power semigroups over normal series and power semigroups of Clifford semigroup[J]. Journal of Shananxi University of Technology(Natural Science Edition), 2006, 22(3): 12-14
Authors:SHAO Hai-qin  QUAN Shuang-yan  WANG Gui-jun
Abstract:In this paper, based on the relation between normal subgroup and congruence, another depiction of normal series power semigroup is given from the angles of congruence by the method of analogy. Then, two important structural theorem are obtaincd by the special structure of Clifford semigroup.
Keywords:power semigroup   normal serles   congruence series   strong semilattice of power semigroup   strong semilattice of power group
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