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.
出处
《纯粹数学与应用数学》
CSCD
2010年第6期1053-1056,共4页
Pure and Applied Mathematics
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
distributive lattice
symmetric distributive lattice
principal congruence relation
complementary
subdirectly irreducibility
