Uniform topology onEQ-algebras

• Autorzy: Jiang Yang , Xiao Long Xin , Peng Fei He
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Uniform space; Topological EQ-algebra; Filter; Converge sequence

Kategorie tematyczne

• 54E15: Uniform structures and generalizations
• 06F99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 354-364

Daty

wydano

2017-01-01

otrzymano

2016-09-17

zaakceptowano

2017-01-26

online

2017-04-14

Twórcy

autor

Jiang Yang

• School of Mathematics, Northwest University, Xi'an, 710127,

autor

Xiao Long Xin

• School of Mathematics, Northwest University, Xi'an, 710127,

autor

Peng Fei He

• School of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710119,

Identyfikatory

DOI

10.1515/math-2017-0032