An investigation on Boolean prime filters in BL-algebras, By Saeed Rasoli

Research

Title	An investigation on Boolean prime filters in BL-algebras
Type	Article
Keywords	—
Journal	SOFT COMPUTING
DOI	—
Researchers	Saeed Rasoli (First researcher) ,

Abstract

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.