%0 Journal Article %A Borzooei, R. A. %A Rezaei, G. R. %A Kouhestani, N. %T On (Semi)Topological $BL$-algebras %J Iranian Journal of Mathematical Sciences and Informatics %V 6 %N 1 %U http://ijmsi.ir/article-1-194-en.html %R 10.7508/ijmsi.2011.01.006 %D 2011 %K $BL$-algebra, (semi)topological $BL$-algebra, filter, Hausdorff space, $T_{i}$-spaces., %X 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. %> http://ijmsi.ir/article-1-194-en.pdf %P 59-77 %& 59 %! %9 Research paper %L A-10-1-92 %+ %G eng %@ 1735-4463 %[ 2011