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On normal niters and congruence relations in BE-algebras

Walendziak A.

Commentationes Mathematicae

2012

Vol. 52, [Z] 2

199--205

In this paper we introduce the notion of a normal filter in BE-algebras (in transitive BE-algebras filters conicide with normal filters). We discuss some relationships between congruence relations and normal filters of a BE-algebra A (if A is commutative, then we show that there is a bijection between congruence relations and niters in A). Moreover, we give the construction of quotient algebra A/F of A via a normal filter F of A.