RT - Journal Article T1 - On (Semi)Topological $BL$-algebras JF - IJMSI YR - 2011 JO - IJMSI VO - 6 IS - 1 UR - http://ijmsi.ir/article-1-194-en.html SP - 59 EP - 77 K1 - $BL$-algebra K1 - (semi)topological $BL$-algebra K1 - filter K1 - Hausdorff space K1 - $T_{i}$-spaces. AB - In last ten years many mathematicians have studied properties of BL-algebras endowed with a topology. For example A. Di Nola and L. Leustean cite{dn} studied compact representations of BL-algebras, L. C. Ciungu cite{ciu} investigated some concepts of convergence in the class of perfect BL-algebras, J. Mi Ko and Y. C. Kim cite{jun} studied relationships between closure operators and BL-algebras, M.Haveshki, E. Eslami and A. Broumand Saeid cite{hav} applied filters to construct a topology on BL-algebras.In this paper we define semitopological and topological $BL$-algebras and derive here conditions that imply a $BL$-algebra to be a semitopological or topological $BL$-algebra. LA eng UL http://ijmsi.ir/article-1-194-en.html M3 10.7508/ijmsi.2011.01.006 ER -