In this paper, a new concept called J -prime filters in BL-algebras are investigated. A J -prime filter F is defined as a proper filter that preserves the property of being prime with respect to another filter J . If J is not a subset of F , then the J -prime filter is referred to as an NJ -prime filter. The relationships between these filters and their connections to minimal prime filters and maximal filters are investigate.
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Bedrood et al. (2025) studied this question.
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