The Properties of Normal R_0 Algebras

In this paper, we consider the properties of normal R0 algebras and the relationship between normal R0 algebras and other algebras. We also discuss the filters of normal R0 algebras. We get that in a R0 algebra, the following conditions are equivalent : F is an implicative filter of L; F is a positive implicative filter of L; F is a Boolean filter of L. And F is a filter if and only if F is a fantastic filter.