psBCK-代数的Boolean滤子与psMV-滤子

Boolean Filter and psMV-filter of Pseudo-BCK Algebras

在psBCK-代数中引入Boolean滤子和psMV-滤子的概念,研究了这2种滤子的性质及其相互关系.同时,借助psMV-滤子概念,给出psBCK-代数成为psMV-代数的若干充要条件.

The notions of Boolean filter, psMV-filter in pseudo-BCK algebras are introduced, and the relationship between Boolean filter and psMV-filter is established. Moreover, based on the concept ofpsMV-filter of pseudo- BCK algebra, some equivalent conditions which a pseudo-BCK algebra becomes a pseudo-MV algebra are given.