In this paper, we use filters of an EQ-algebra E to induce a uniform structure (E, 𝓚), and then the part 𝓚 induce a uniform topology 𝒯 in E. We prove that the pair (E, 𝒯) is a topological EQ-algebra, and some properties of (E, 𝒯) are investigated. In particular, we show that (E, 𝒯) is a first-countable, zero-dimensional, disconnected and completely regular space. Finally, by using convergence of nets, the convergence of topological EQ-algebras is obtained.
@article{bwmeta1.element.doi-10_1515_math-2017-0032,
author = {Jiang Yang and Xiao Long Xin and Peng Fei He},
title = {Uniform topology onEQ-algebras},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {354-364},
zbl = {06715910},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0032}
}
Jiang Yang; Xiao Long Xin; Peng Fei He. Uniform topology onEQ-algebras. Open Mathematics, Tome 15 (2017) pp. 354-364. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0032/