Filters of L~*-Lindenbaum algebras
MA Xiao-jue · jOURNAL OF southwest University for Nationalities · 2006
The properties of D(Г) are studied with the corresponding knowledge of filters in lattice.It is proved that MP filters of L~*-Lindenbaum algebras can be written as in which[D(Г)]={[A]｜Г├A,A∈F(S)} by analyzing the comparability of D(Г) and MP filters.Further,we have proved that a maximal filter in the sense of lattice theory is also a maximal MP filter,and at the same time,a sufficient proposition on maximal filters is given