On medial filters of BE-algebras

Document Type : Research Paper

Authors

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

Abstract

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.

Keywords

References

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Algebraic Structures and Their Applications
Volume 7, Issue 1
February 2020
Pages 127-141

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