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مجله ساختارهای جبری، دوره: 9، شماره: 2
Year: 1401
COI: JR_JAS-9-2_009
Language: EnglishView: 74
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Seyed M. A. Khatami - Department of Computer Science, Birjand University of Technology, Birjand, Iran.


This paper is devoted to introduce a topology on BL-algebras, makes them semitopological algebras. For any BL-algebra \mathcal{L}=(L, \wedge, \vee, *, \too , ۰, ۱), the introduced topology is defined by a distance-like function between elements of L which is defined by a \leftrightarrow b=(a\too b)*(b\too a). We will show that when the continuous scale [۰,۱] is endowed to be a BL-algebra, then this topology admits some of the most important properties of the metric topology. Finally, we will show that this topology can be examined by a similar topology on dual of BL-algebras as well.


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