Fuzzy filters of pseudo-BE algebras

The theory of fuzzy filters in pseudo-BE algebras is developed. Various characterizations of fuzzy filters are given. It is proved that the set of all fuzzy filters of a pseudo-BE algebra is a complete lattice. Some characterizations of Noetherian pseudo-BE algebras by fuzzy filters are obtained. Fi...

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Veröffentlicht in:	Afrika mathematica 2020-09, Vol.31 (5-6), p.739-750
Hauptverfasser:	Walendziak, Andrzej, Rezaei, Akbar
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Applications of Mathematics Fuzzy sets History of Mathematical Sciences Mathematics Mathematics and Statistics Mathematics Education
Online-Zugang:	Volltext
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Zusammenfassung:	The theory of fuzzy filters in pseudo-BE algebras is developed. Various characterizations of fuzzy filters are given. It is proved that the set of all fuzzy filters of a pseudo-BE algebra is a complete lattice. Some characterizations of Noetherian pseudo-BE algebras by fuzzy filters are obtained. Finally, fuzzy commutative filters are defined and studied. Moreover, the homomorphic properties of fuzzy (commutative) filters are provided.
ISSN:	1012-9405 2190-7668
DOI:	10.1007/s13370-019-00756-2