偏序半群的半拟序、正则同余与商序同态  

Semi-pseudoorder,Regular Congruence and Quotient Ordered Homomorphism of Partially Ordered Semigroups

作　　者：邵海琴[1] 何万生[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：《宁夏大学学报（自然科学版）》2015年第2期109-114,共6页Journal of Ningxia University(Natural Science Edition)

基　　金：甘肃省自然科学基金资助项目(096RJZE106);甘肃省教育厅科研基金资助项目(0908-07);天水师范学院中青年教师科研资助项目(TSA1311)

摘　　要：首先,利用偏序半群的半拟序和半拟链,给出了偏序半群的正则同余珋ρ和商半群S/珋ρ的构造方法,并通过实例进行验证.其次,利用偏序半群的半拟序和正则同余,对偏序半群的商序同态进行了刻画,得到了一些理想的结果.The article is about the constructive methods of regular congruence E5 and quotient semigroup S/ρ of partially ordered semigroup S which are given by semi-pseudoorder and semi-pseudochain of partially ordered semigroup. These constructive methods are verified by concrete instances. It depicts quotient ordered homomorphism of partially ordered semigroup by semi-pseudoorder and regular congruence of partially ordered semigroup, and gets some interesting results.

关 键 词：偏序半群 半拟序 半拟链 商半群 正则同余 商序同态 

分 类 号：O152.7[理学—数学]