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P-完全正则半群
引用本文:潘秀娟,邵勇.P-完全正则半群[J].纯粹数学与应用数学,2008,24(4).
作者姓名:潘秀娟  邵勇
作者单位:天津工业大学理学院,天津,300160;西北大学数学系,陕西,西安,710069
基金项目:陕西省教育厅自然科学专项基金  
摘    要:求证具有强半格结构的完全正则半群成为P-完全正则半群的充分条件.利用半群的强半格结构以及同余的性质.完全单半群的强半格-正规群带是P-完全正则半群.矩形群的强半格正规纯正群类ONBG,左群的强半格左正规纯整群类LONBG,群的强半格Clifford半群类,矩形带的强半格正规带类NB,都具有性质P.

关 键 词:完全正则半群  强半格  同态

P-completely regular semigroup
PAN Xiu-juan,SHAO Yong.P-completely regular semigroup[J].Pure and Applied Mathematics,2008,24(4).
Authors:PAN Xiu-juan  SHAO Yong
Abstract:A completely regular semigroup with the strong semilattice structure is proved to be P-completely regular semigroup.By using the strong semilatice structure and the property of congruence.The sufficient condition of which a completely regular semigroup is P-completely regular semigroup is having the strong semi-lattice structure,and the subclass NBG of the completely regular semigroup is P-completely regular semigroup.
Keywords:Completely regular semigroup  The strong semilattice  Homomorphisms  
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