On normal filters and congruence relations in BE-algebras

• Autorzy: Andrzej Walendziak
• Języki publikacji: EN

Abstrakty

EN

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 filters in A ). Moreover, we give the construction of quotient algebra A/F of A via a normal filter F of A.

Słowa kluczowe

EN

BE-algebra; (Normal) Filter; Congruence relation; Transitive BE-algebra; Commutative BE-algebra

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2012
• Tom: 52
• Numer: 2

Daty

wydano

2012

online

2017-12-19

Twórcy

autor

Andrzej Walendziak

Identyfikatory

DOI

10.14708/cm.v52i2.5336