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.

کلیدواژه ها:

prime filter ، maximal filter ، Super-max filter ، Weakly Prime filter ، Weak Top BL-algebra