对称扩展的有界分配格的同余格的结构  

Construction of Congruence lattice of Symmetrical and Extended Bounded Distributive Lattice

作　　者：刘莎莎[1] 罗从文[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《三峡大学学报（自然科学版）》2010年第6期107-108,112,共3页Journal of China Three Gorges University：Natural Sciences

摘　　要：将格上可分同余关系的概念推广到对称扩展的有界分配格上,并讨论了可分同余关系的性质.利用这些性质得到了同余格为布尔代数的充分必要条件.We generalize the concept of the separable congruence relation on the lattice to the symmetrical and extended bounded distributive lattice.And some properties of the separable congruence relation are discussed.Furthermore,we obtain a sufficient and necessary condition for the congruence lattice being a Boolean lattice by these properties.

关 键 词：对称扩展分配格 可分同余关系 伪补 

分 类 号：O153.1[理学—数学]