偏序半群的半拟序扩张  

On Extensions of Semi-Pseudoorder of Partially Ordered Semigroups

作　　者：邵海琴[1] 贾利新[2] 

机构地区：[1]天水师范学院数理与信息科学学院,甘肃天水741001 [2]信息工程大学电子技术学院,郑州450004

出　　处：《河南科学》2008年第10期1158-1159,共2页Henan Science

基　　金：国家自然科学基金资助项目(90204012);陕西省自然科学基础研究计划项目(2005A15)

摘　　要：定义了S的半拟序σ及模σ的半拟链,其次,通过模σ的半拟链将S的半拟序σ扩张为S的另一个偏序≤*,使得(S,·,≤*)是偏序半群,并获得了若干理想的结果.特别地,得到了SPO(S)到PO(S)的半格同态定理.Let （S,· ,≤）be partially ordered semigroups. In this paper, Firstly, the concepts of semi-pseudoorder and semi-pseudochain rood σ on the partially ordered semigroup S is introduced. Secondly,a sufficient conditions for extending a semi-pseudoorder of S to another partial order by semi-pseudochain is given, and obtain some interesting results. In particular, a semi-Lattice homomorphism theorem is obtained.

关 键 词：偏序半群 半拟序 半拟链 半拟序扩张 半格同态 

分 类 号：O157.2[理学—数学]