- Tytuł:
- On normal filters and congruence relations in BE-algebras
- Autorzy:
- Walendziak, Andrzej
- Powiązania:
- https://bibliotekanauki.pl/articles/746384.pdf
- Data publikacji:
- 2012
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
BE-algebra
(Normal) Filter
Congruence relation
Transitive BE-algebra
Commutative BE-algebra - Opis:
- 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.
- Źródło:
-
Commentationes Mathematicae; 2012, 52, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł