Topology on BL-algebras

In this paper, by using a special family of filters on a BL-algebra L, we construct a topology τ on L  , show that (L,τ)(L,τ) is a topological BL-algebra, find the closure of any subsets of L   and obtain some conditions under which that (L,τ)(L,τ) is a Hausdorff space. Also, we prove some theorems about connected components of this topological space and use them to construct a quotient semitopological BL-algebras. Finally, we introduce the concept of complete BL-algebra and attempt to construct a complete BL-algebra from L.