Affiliations: Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran | Department of Mathematics, Kerman Branch, Islamic Azad university, Kerman, Iran
Note: [] Corresponding author. Arsham Borumand Saeid, Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran. Tel.: +98 34 31322490; Fax: +98 34 3320100; E-mail: [email protected]
Abstract: In this paper, we introduce the concepts of nodes and nodal filters in BL-algebras. Then we study the relationships between nodal filters and some other types of filters, likeness prime filter and special filter in BL-algebras. Also, we study inverse image of a nodal filter under a BL-homomorphism. Finally, we obtain a characterization of the nodal filters in terms of congruences.
Keywords: BL-algebras, Godel algebra, filter, a node, nodal filter, prime filter
