On medial filters of BE-algebras

نویسندگان
Rezaei, Akbar ID 1
Radfar, Akefe ID 2
Pourabdollah, Amir ID 3

1 Department of Mathemtics, Payame Noor University, P.O.Box. 19395-3697, Tehran, Iran.

2 Department of Mathematics, Payame Noor University, P.O.Box. 19395-3697, Tehran, Iran.

3 School of Computer Science, The University of Nottingham, Nottingham NG8 1BB, UK

doi
10.22034/as.2020.1736
چکیده

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.

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