# Uniform topology onEQ-algebras

Jiang Yang; Xiao Long Xin; Peng Fei He

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 354-364
- ISSN: 2391-5455

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topJiang Yang, Xiao Long Xin, and Peng Fei He. "Uniform topology onEQ-algebras." Open Mathematics 15.1 (2017): 354-364. <http://eudml.org/doc/288035>.

@article{JiangYang2017,

abstract = {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.},

author = {Jiang Yang, Xiao Long Xin, Peng Fei He},

journal = {Open Mathematics},

keywords = {Uniform space; Topological EQ-algebra; Filter; Converge sequence; uniform space; topological $EQ$-algebra; filter; converge sequence},

language = {eng},

number = {1},

pages = {354-364},

title = {Uniform topology onEQ-algebras},

url = {http://eudml.org/doc/288035},

volume = {15},

year = {2017},

}

TY - JOUR

AU - Jiang Yang

AU - Xiao Long Xin

AU - Peng Fei He

TI - Uniform topology onEQ-algebras

JO - Open Mathematics

PY - 2017

VL - 15

IS - 1

SP - 354

EP - 364

AB - 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.

LA - eng

KW - Uniform space; Topological EQ-algebra; Filter; Converge sequence; uniform space; topological $EQ$-algebra; filter; converge sequence

UR - http://eudml.org/doc/288035

ER -

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