Reza Tayebi Khorami - Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.

In this paper, the inverse limits of a projective system of basic logic algebras (BL-algebras) are introduced, and their basic properties are studied. The set of congruences of a BL-algebrais considered as a poset. Then, a quotient inverse system and a quotient inverse limit on it are constructed. Moreover, by setting filters of a BL-algebra, quotient projective and inverse systems areconstructed.

BL-algebra, inverse limit, projective system