WEAKLY PRIME AND SUPER-MAX FILTERS IN BL-ALGEBRAS

‎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.