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左$C$-Wrpp 半群的加细半格结构
引用本文:陈益智,李勇华.左$C$-Wrpp 半群的加细半格结构[J].数学研究及应用,2008,28(1):81-93.
作者姓名:陈益智  李勇华
作者单位:[1]Department of Mathematics, Huizhou University, Guangdong 516015, China [2]School of Mathematics, South China Normal University, Guangdong 516031, China
基金项目:the Natural Science Foundation of Huizhou University (No. C207.0202).
摘    要:本文研究了左$C$-wrpp半群的加细半格结构,证明了左$C$-wrpp半群是左-${\cal R}$可消带的加细半格当且仅当它是一个$C$-wrpp半群和一个左正则带的织积.

关 键 词:left  C-wrpp  semigroup  refined  semilattice  left-R  cancellative  stripe  spined  product  半群  格结构  Semigroups  Left  Structure  Semilattice  generalization  semilattice  decomposition  show  semigroups  stripes  product  component  left  regular  band  explore  refined  paper
收稿时间:2005-12-05
修稿时间:2006-07-02

Refined Semilattice Structure of Left $C$-Wrpp Semigroups
CHEN Yi-zhi and LI Yong-hua.Refined Semilattice Structure of Left $C$-Wrpp Semigroups[J].Journal of Mathematical Research with Applications,2008,28(1):81-93.
Authors:CHEN Yi-zhi and LI Yong-hua
Institution:1. Department of Mathematics,Huizhou University,Guangdong 516015,China
2. School of Mathematics,South China Normal University,Guangdong 516031,China
Abstract:In this paper,we explore the refined semilattice of left C-wrpp semigroups,and show that a left C-wrpp semigroup S is a refined semilattice of left-R canceUative stripes if and only if it is a spined product of a C-wrpp component and a left regular band.It is a generalization of the refined semilattice decomposition of left C-rpp semigroups.
Keywords:left C-wrpp semigroup  refined semilattice  left-R cancellative stripe  spined product  
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