Obstinate and maximal prelters in EQ-algebras

Abstract

In this paper the notion of an obstinate prelter(filter) in an EQ-algebra
E is introduced and a characterization of it is obtained by some theorems. Then the notion of maximal prefilter is defined and is characterized under some conditions. Finally, the relations among obstinate, prime, maximal, implicative and positive implicative prefilters are studied.