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Abstract
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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.
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