对称扩展的有界分配格的同余关系及其应用  

Congruences on the symmetric extended bounded distributive lattice and its applications

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：《纯粹数学与应用数学》2010年第6期1053-1056,共4页Pure and Applied Mathematics

摘　　要：给出了对称扩展的有界分配格的定义,即带有满足一定条件的一元运算的有界分配格.然后给出了这种分配格上的主同余的等式刻划及其可补性.最后,讨论了对称扩展的有界分配格的次直不可约性。In this paper we give the definition of a symmetric extended bounded distributive lattice,namely it is a bounded distributive lattice with an unary operation satisfied certain conditions.We get the equational description of the principal congruence of the symmetric extended bounded distributive lattices,and also its complementary.Furthermore,the subdirectly irreducibility is studied.

关 键 词：分配格 对称扩展分配格 主同余关系 可补性 次直不可约性 

分 类 号：O153.1[理学—数学]