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Content available remote On normal niters and congruence relations in BE-algebras
Walendziak A.
Commentationes Mathematicae
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2012
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Vol. 52, [Z] 2
199--205
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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.
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