University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065415620181230ON TOPOLOGICAL EQ-ALGEBRAS145158437210.22111/ijfs.2018.4372ENJiangYangSchool of Mathematics, Northwest University, Xi'an,710127, ChinaXiao LongXinSchool of Mathematics, Northwest University, Xi'an,710127, ChinaPeng FeiHeSchool of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710119, ChinaJournal Article20161209In 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.http://ijfs.usb.ac.ir/article_4372_dc83354d4e54be047e1c1cb9ea76b978.pdf