偏序半群的商半群的拟序和商拟序  

Pseudoorder and Quotient Pseudoorder on Partially Ordered Quotient Semigroups of Partially Ordered Semigroups

作　　者：邵海琴[1] 党红刚[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741006

出　　处：《宁夏师范学院学报》2018年第1期21-25,共5页Journal of Ningxia Normal University

基　　金：甘肃省教育厅科学研究基金(2015A-129)

摘　　要：通过S的拟序和商拟序ρ,得到了S/ρ的拟序和商拟序ρ'的一种构造方法,讨论了S的包含拟序ρ的拟序集和S/ρ的拟序集以及S的包含商拟序ρ的商拟序集和S/ρ的商拟序集之间的关系.Let ρ be the pseudoorder（or quotient pseudoorder） of partially ordered semigroups S,The main aim of this paper is to study pseudoorder and quotient pseudoorderof partially ordered quotientsemigroups（S/ρ（ρ= ρ ∩ ρ-1） from pseudoorder and quotient pseudoorder of S. By use of pseudoorder and quotient pseudoorder ρ of S,a constructive method on Pseudoorder and quotient pseudoorder ρ’ of S/ρ is given. Then we discuss the relations between pseudoorder set including pseudoorder ρ of S and pseudoorder set of S/ρ珋and the relations between quotient pseudoorder set including quotient pseudoorder of and quotient pseudoorder set of S/ρ.

关 键 词：偏序半群 偏序商半群 拟序 商拟序 拟链 

分 类 号：O152.7[理学—数学]