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P-反演半群上强P-同余的P-核正规系
引用本文:范兴奎,陈倩华.P-反演半群上强P-同余的P-核正规系[J].东北数学,2005,21(4):397-403.
作者姓名:范兴奎  陈倩华
作者单位:Basic Department Qingdao Technological University,Qingdao,266520,Basic Department,Qingdao Technological University,Qingdao,266520
摘    要:Let S(P) be a P-inversive semigroup. In this paper we describe the strong P-congruences on S(P) in terms of their P-kernel normal systems. We prove that any strong P-congruence on S(P) can present a P-kernel normal system; conversely any P-kernel normal system of S(P) can determine a strong P-congruence.

关 键 词:反演半群  强回余方程  标准方程  幂系数

P-kernel Normal System of Strong P-congruences on P-inversive Semigroups
FAN Xing-kui,CHEN Qian-hua.P-kernel Normal System of Strong P-congruences on P-inversive Semigroups[J].Northeastern Mathematical Journal,2005,21(4):397-403.
Authors:FAN Xing-kui  CHEN Qian-hua
Institution:Basic Department, Qingdao Technological University, Qingdao, 266520
Abstract:Let S(P) be a P-inversive semigroup. In this paper we describe the strong P-congruences on S(P) in terms of their P-kernel normal systems. We prove that any strong P-congruence on S(P) can present a P-kernel normal system; conversely any P-kernel normal system of S(P) can determine a strong P-congruence.
Keywords:P-inversive semigroup  strong P-congruence  P-kernel normal system
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