完全正则半群的模糊同余对  

Fuzzy congruence pairs of the completely regular semigroup

作　　者：张鹏鸽[1] 刘三阳[1] 

机构地区：[1]西安电子科技大学理学院,陕西西安710071

出　　处：《西安电子科技大学学报》2005年第5期798-801,共4页Journal of Xidian University

基　　金：国家自然科学基金资助项目(69972036);陕西省自然科学研究资助项目(2000SL03)

摘　　要：讨论了一类半群的模糊同余关系的模糊核-迹,即完全正则半群上模糊同余关系的模糊核与模糊迹.并给出这类半群上模糊同余对的概念,构造出完全正则半群上模糊同余与模糊同余对之间的一一对应关系.The method of kernel-trace is successful in the study of congruence of the semigroup. The fuzzy set is the generalization of the classical set, while the fuzzy relation is a special function. In this paper we study the fuzzy kernel-trace of the fuzzy congruence relation on some class semigroup, that is, the notions of fuzzy kernel and fuzzy trace of a fuzzy congruence relation on a completely regular semigroup; we establish these notions by introducing fuzzy congruence pairs. Finally, we put emphasis on a one-to-one corre-spondence between fuzzy congruence pairs and fuzzy congruence on a completely regular semigroup.

关 键 词：完全正则半群 模糊核 模糊迹 模糊正规同余 模糊同余对 

分 类 号：O152.7[理学—数学]