WEAKLY PRIME AND SUPER-MAX FILTERS IN BL-ALGEBRAS
نویسندگان
1 Department of Mathematics, University of Hormozgan, P.O. Box 3995, Bandar Abbas, Iran.
2 Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran.
doi
10.22044/jas.2023.12188.1638چکیده
In this paper, the concepts of weakly prime filters and super-max filters in $\mathrm{BL}$-algebras are introduced, and the relationships between them are discussed. Also, some properties and relations between these filters and other types of filters in $\mathrm{BL}$-algebras are given. With some examples, it is shown that these filters have differences. After that, the notions of weakly linear $\mathrm{BL}$-algebras and weak top $\mathrm{BL}$-algebras are defined and investigated. Finally, using the notion of a weakly prime filter, a new topology on $\mathrm{BL}$-algebras is defined and studied.
