Uniform topology on EQ-algebras

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-counta...

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Bibliographic Details
Main Authors: Yang Jiang, Long Xin Xiao, He Peng Fei
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0032/math-2017-0032.xml?format=INT