Introduces α-prime and S-prime filters in BL-algebras, highlighting their properties and relationships with existing filter types.
In this paper, given an endomorphism α and a ∨-closed subset S of a BL-algebra, we introduce the concepts of α-prime filters and S-prime filters in BL-algebras, two notions that generalize the prime filters of BL-algebras. We give some examples and examine their first properties and characterizations. Furthermore, we define the notions of α-maximal filters and S-maximal filters of BL-algebras and study the connections among all the introduced classes of filters as well as their relationships with maximal and prime filters of BL-algebras.
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Christian Maxime Steve Oumarou (2026) studied this question.
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