An investigation on Boolean prime filters in BL-algebras
In this paper, by considering the notion of basic logic (BL)-algebras, we study some properties of Boolean prime filters. In fact, we concern a relationship between the important theorems in commutative algebra and BL-algebra theory. We prove the BL-version of the going up and lying over theorems in BL-algebras theory with respect to Boolean prime filters. Also, we study the notion of localization in BL-algebras theory.
prime filter filter bl-algebra residuated lattice