The paper introduces weakly prime and super-max filters in BL-algebras, discovering their properties and implications.
In this paper, the concepts of weakly prime filters and super-max filters in 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 BL-algebras are given. With some examples, it is shown that these filters have differences. After that, the notions of weakly linear BL-algebras and weak top BL-algebras are defined and investigated. Finally, using the notion of a weakly prime filter, a new topology on BL-algebras is defined and studied.
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Moghaderi et al. (2023) studied this question.