BL-algebra of fractions and maximal BL-algebra of quotients
The scope of this paper is to define the notions of BL-algebra of multipliers, BL-algebra of fractions and maximal BL-algebra of quotients for a BL-algebra. The results obtained by authors are the generalization of the ones obtained for MV-algebras in [4]. In the last part of this paper is proved the existence of the maximal BL-algebra of quotients for a BL-algebra (Theorem 23) and we give explicit descriptions of this BL-algebra for some classes of BL-algebras.
bl-algebra bl-algebra of fractions maximal bl-algebra of quotients multiplier mv-algebra