The Convergence of Filters on Quantales and Its Hausdorffness

In this paper, we introduce the definition of conergence of filters on quantale. Some characterizations of finit completeness and compactness of quantales are studied. At last, the Hausdorff property in quantale using the converence structure is presented. key words: Quantale; Point; ideal; Congerencen of filter; Hausdorff Property