en عمومى General پژوهشي Research paper <p>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.</p> $BL$-algebra, (semi)topological $BL$-algebra, filter, Hausdorff space, $T_{i}$-spaces. 59 77 http://ijmsi.ir/browse.php?a_code=A-10-1-92&slc_lang=en&sid=1 R. A. Borzooei 10031947532846002162 10031947532846002162 Yes G. R. Rezaei 10031947532846002163 10031947532846002163 No N. Kouhestani 10031947532846002164 10031947532846002164 No