n-FOLD FILTERS OF EQ-ALGEBRAS

In this paper, we apply the notion of n-fold filters to the EQ-algebras and introduce the concepts of n-fold pseudo implicative, n-fold implicative, n-fold obstinate, n-fold fantastic prefilters and filters on an EQ-algebra ε. Then we investigate some properties and relations among them. We prove that the quotient algebra ε/F modulo an 1-fold pseudo implicative filter of an EQ-algebra ε is a good EQ-algebra and the quotient algebra ε/F modulo an 1-fold fantastic filter of a good EQ-algebra ε is an lEQ-algebra.