河南科学
河南科學
하남과학
HENAN SCIENCE
2009年
5期
522-524
,共3页
序半群%L-平凡的%左整除%左同余%完全左同余%左△-序半群
序半群%L-平凡的%左整除%左同餘%完全左同餘%左△-序半群
서반군%L-평범적%좌정제%좌동여%완전좌동여%좌△-서반군
ordered semigroup%L-trivial%left divisibility%left congruence%complete left congruence%left △-rderedsemigroups
介绍了左△-序半群和完全左同余的概念,给出了左整除序关系的链的性质.最后,证明了带有左整除序关系的链的零半群是左△-序半群.
介紹瞭左△-序半群和完全左同餘的概唸,給齣瞭左整除序關繫的鏈的性質.最後,證明瞭帶有左整除序關繫的鏈的零半群是左△-序半群.
개소료좌△-서반군화완전좌동여적개념,급출료좌정제서관계적련적성질.최후,증명료대유좌정제서관계적련적령반군시좌△-서반군.
In this paper, the concepts of left △-ordered sernigroups and complete left congruences are introduced and some properties which left divisibility ordering relation form a chain are given. We finally prove that the nil ordered semigroups which are chains with respect to the divisibility ordering are left △-ordered semigroups.