On normal filters and congruence relations in BE-algebras

Andrzej Walendziak. "On normal filters and congruence relations in BE-algebras." Commentationes Mathematicae 52.2 (2012): null. <http://eudml.org/doc/291830>.

@article{AndrzejWalendziak2012,
abstract = {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.},
author = {Andrzej Walendziak},
journal = {Commentationes Mathematicae},
keywords = {BE-algebra; (Normal) Filter; Congruence relation; Transitive BE-algebra; Commutative BE-algebra},
language = {eng},
number = {2},
pages = {null},
title = {On normal filters and congruence relations in BE-algebras},
url = {http://eudml.org/doc/291830},
volume = {52},
year = {2012},
}

TY - JOUR
AU - Andrzej Walendziak
TI - On normal filters and congruence relations in BE-algebras
JO - Commentationes Mathematicae
PY - 2012
VL - 52
IS - 2
SP - null
AB - 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.
LA - eng
KW - BE-algebra; (Normal) Filter; Congruence relation; Transitive BE-algebra; Commutative BE-algebra
UR - http://eudml.org/doc/291830
ER -