弱P-反演半群上的P-核正规系

数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 171-177.

弱P-反演半群上的P-核正规系

School of Science,Qingdao Technological University

收稿日期:2005-10-20 出版日期:2008-06-30 发布日期:2023-09-27
作者简介:CHEN Qian-hua(1973-), female, native of Jining, Shandong, a lecturer of Qingdao Technological University, M.S.D., engages in algebra research.
基金资助:
Supported by the Science Research Foundation of Qingdao Technological University
(C2002-214)

P-kernel Normal Systems in Weakly P-inversive Semigroups

School of Science,Qingdao Technological University

Received:2005-10-20 Online:2008-06-30 Published:2023-09-27
About author:CHEN Qian-hua(1973-), female, native of Jining, Shandong, a lecturer of Qingdao Technological University, M.S.D., engages in algebra research.
Supported by:
Supported by the Science Research Foundation of Qingdao Technological University
(C2002-214)

摘要/Abstract

摘要： 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.

关键词: weakly P-inversive semigroup, strong P-congruence, P-kernel normal system;
lattice isomorphism

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.

Key words: weakly P-inversive semigroup, strong P-congruence, P-kernel normal system;
lattice isomorphism

中图分类号:

O152.7

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): 171-177.

CHEN Qian-hua, FAN Xing-kui. P-kernel Normal Systems in Weakly P-inversive Semigroups [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 171-177.

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