@article {
author = {Khatami, Seyed M. A.},
title = {A METRIC-LIKE TOPOLOGY ON BL-ALGEBRAS},
journal = {Journal of Algebraic Systems},
volume = {9},
number = {2},
pages = {281-298},
year = {2022},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2021.10296.1509},
abstract = {This paper is devoted to introduce a topology on BL-algebras, makes them semitopological algebras. For any BL-algebra $\mathcal{L}=(L, \wedge, \vee, *, \too , 0, 1)$, 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 $[0,1]$ 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.},
keywords = {BL-algebra,dual of BL-algebra,topological BL-algebra},
url = {https://jas.shahroodut.ac.ir/article_2199.html},
eprint = {https://jas.shahroodut.ac.ir/article_2199_dfd241457e2e2e2e3a972fe61649d936.pdf}
}