TY - JOUR
T1 - On (Semi)Topological $BL$-algebras
TT -
JF - IJMSI
JO - IJMSI
VL - 6
IS - 1
UR - http://ijmsi.ir/article-1-194-en.html
Y1 - 2011
SP - 59
EP - 77
KW - $BL$-algebra
KW - (semi)topological $BL$-algebra
KW - filter
KW - Hausdorff space
KW - $T_{i}$-spaces.
N2 - 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.
M3 10.7508/ijmsi.2011.01.006
ER -