Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
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admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
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en
jalali
1390
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gregorian
2011
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online
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fulltext
en
On (Semi)Topological $BL$-algebras
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