偏序半群的核、理想、偏序同态与商序同态  

The Kernel,Ideal,Partially Ordered Homomorphisms and Quotient Ordered Homomorphisms of Partially Ordered Semigroups

作　　者：邵海琴[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》2016年第6期31-35,46,共6页Journal of Ningxia Normal University

基　　金：天水师范学院中青年教师科研资助项目(TSA1311)

摘　　要：通过偏序半群的核、单理想、B-单理想和B-单子半群,对偏序半群的偏序同态与商序同态的性质进行了刻画,得到了偏序半群的商序满同态是保核、保单理想、保B-单理想和保B-单子半群的重要结论.In this paper,we depict some important properties on partially ordered homomorphisms and quotient ordered homomorphisms of partially ordered semigroups by using kernel,simple ideal and B-simple ideal of partially ordered semigroups,and obtain some important conclusions that the quotient ordered surjective homomorphisms of partially ordered semigroups is kernel-preserving,B-simple ideal-preserving,B-simple ideal-preserving and B-simple subsemigroup-preserving.

关 键 词：偏序半群 核 单理想 B-单理想 B-单子半群 偏序同态 商序同态 

分 类 号：O152.7[理学—数学]