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.
出处
《宁夏大学学报（自然科学版）》
CAS
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)
关键词
偏序半群
半拟序
半拟链
商半群
正则同余
商序同态
partially ordered semigroups
semi-pseudoorderl semi-pseudochain
quotient semigroups
reg ular congruence
quotient ordered homomorphism
