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弱P-反演半群上的P-核正规系
引用本文:陈倩华,范兴奎.弱P-反演半群上的P-核正规系[J].数学季刊,2008,23(2).
作者姓名:陈倩华  范兴奎
作者单位:School of Science,Qingdao Technological University,Qingdao 266520,China 
摘    要:

关 键 词:弱P-反演半群  P-核正规系  解题方法  数学分析

P-kernel Normal Systems in Weakly P-inversive Semigroups
CHEN Qian-hua,FAN Xing-kui.P-kernel Normal Systems in Weakly P-inversive Semigroups[J].Chinese Quarterly Journal of Mathematics,2008,23(2).
Authors:CHEN Qian-hua  FAN Xing-kui
Institution:School of Science, Qingdao Technological University, Qingdao 266520, China
Abstract:In this paper,we first give the concept of weakly P-inversive semigroup S(P).Then we describe the strong P-congruences on S(P)in terms of their P-kernel normal systems.It is proved that there is a bijection between the strong P-congruences and the P-kernel normal systems.Finally,it is also prove that the lattice of strong P-congruences and the lattice of P-kernel normal systems on S(P)are isomorphic.
Keywords:weakly P-inversive semigroup  strong P-congruence  P-kernel normal system  lattice isomorphism
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