New Prime Filter Types in BL–Algebras
Christian Maxime Steve Oumarou
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Source: Crossref
Published: May 20, 2026
DOI: 10.1142/s1793005727500724
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In this paper, given an endomorphism [Formula: see text] and a ∨-closed subset [Formula: see text] of a BL-algebra, we introduce the concepts of [Formula: see text]-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 [Formula: see text]-maximal filters and [Formula: see text]-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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