Akbar Rezaei - Department of Mathemtics, Payame Noor University, P.O.Box. ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.
Akefe Radfar - Department of Mathematics, Payame Noor University, P.O.Box. ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.
Amir Pourabdollah - School of Computer Science, The University of Nottingham, Nottingham NG۸ ۱BB, UK

In this paper, the notion of a medial filter in a BE-algebra is defined, and the theory of filters in BE-algebras is developed. These filters are very important for the study of congruence relations in BE-algebras.  Moreover, the relationships between implicative filters,  medial filters and  normal filters are investigated.

BE/CI-algebra, (implicative, medial, normal) filter