%0 Journal Article
%T ON TOPOLOGICAL EQ-ALGEBRAS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Yang, Jiang
%A Xin, Xiao Long
%A He, Peng Fei
%D 2018
%\ 12/30/2018
%V 15
%N 6
%P 145-158
%! ON TOPOLOGICAL EQ-ALGEBRAS
%K Topological $EQ$-algebra
%K System of filters
%K Cauchy sequence
%R 10.22111/ijfs.2018.4372
%X In this paper, by using a special family of filters $mathcal{F}$ on an EQ-algebra $E$, we construct a topology $mathcal{T}_{mathcal{mathcal{F}}}$ on $E$ and show that $(E,mathcal{T}_{mathcal{F}})$ is a topological EQ-algebra. First of all, we give some properties of topological EQ-algebras and investigate the interaction of topological EQ-algebras and quotient topological EQ-algebras. Then we obtain the form of closure of each subset and show that $(E,mathcal{T}_{mathcal{F}})$ is a zero-dimensional space. Finally, we introduce the concept of convergence of sequences on topological EQ-algebras and give a condition under which the limit of a sequence is unique.
%U http://ijfs.usb.ac.ir/article_4372_dc83354d4e54be047e1c1cb9ea76b978.pdf