Affiliations: Iran National Science Foundation (INSF) | Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Note: [] Corresponding author. A. Borumand Saeid, Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran. E-mails: [email protected] (A.B. Saeid); [email protected] (N. Mohtashamnia).
Abstract: In this paper, we first introduce the notion of implication filters in BL-algebras and then state and prove some theorems which determine the relationships of these filters and other filters in BL-algebras. We also introduce the notion of implication BL-algebras and investigate its properties, as well as the relationship of implication BL-algebras and other algebraic structures.
