دوره 6، شماره 1 - ( 2-1390 )
جلد 6 شماره 1 صفحات 77-59 |
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Borzooei R A, Rezaei G R, Kouhestani N. On (Semi)Topological $BL$-algebras. IJMSI 2011; 6 (1) :59-77
URL: http://ijmsi.ir/article-1-194-fa.html
URL: http://ijmsi.ir/article-1-194-fa.html
On (Semi)Topological $BL$-algebras. مجله علوم ریاضی و انفورماتیک. 1390; 6 (1) :59-77
چکیده:
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.
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