On filters in eBE-algebras.

In this paper, we introduce commutative, medial, normal, irreducible and prime filters in eBE-algebras, and investigate some of them properties. We define and study the concept of commutative eBE-algebra. In particular, we show that every commutative eBE-algebra is a commutative BE-algebra and prove that each filter of such algebra is commutative. Moreover, we give a construction of quotient eBE-algebras via normal filters. [ABSTRACT FROM AUTHOR]