可消偏序半群的可消偏序扩张与商序同态  

The extension on cancellative partial order and quotient ordered homomorphism of cancellative partially ordered semigroup

作　　者：邵海琴[1] 郭莉琴[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《浙江大学学报（理学版）》2016年第5期512-516,536,共6页Journal of Zhejiang University（Science Edition）

基　　金：甘肃省教育厅科学研究基金项目(1108B-03);天水师范学院中青年教师科研资助项目(TSA1311)

摘　　要：引入偏序半群的商半拟序的概念,利用商半拟序给出了可消偏序半群上的偏序可扩张为可消偏序的充分条件.通过偏序半群的半拟序σ、模σ的闭半拟链,商半拟序和偏序扩张以及可消偏序半群的可消偏序扩张,对偏序半群的商序同态进行了刻画,得到了若干重要的结论.This paper studies the cancellative partial ordered extension and properties of quotient ordered homomor‐phisms of cancellative partially ordered semigroups （CPOS） .The notion on quotient semi‐pseudoorder of partially ordered semigroup（POS） is introduced .With the quotient semi‐pseudoorder of CPOS and using the method of par‐tial ordered extension of POS ,the sufficient condition for extending a cancellative partial order of CPOS to another cancellative partial order is derived .It is also shown that quotient ordered homomorphism of partially ordered semig‐roup POS can be depicted by semi‐pseudoorder σ,closed semi‐pseudochain of modulo σ,quotient semi‐pseudoorder , partial ordered extension of partially ordered semigroup ,and cancellative partial ordered extension of CPOS .Some important conclusions are obtained .

关 键 词：可消偏序半群 半拟序 商半拟序 闭半拟链 偏序扩张 可消偏序扩张 商序同态 

分 类 号：O152.7[理学—数学]