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381756

The quasi-uniform character of a topological semigroup

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Last updated: 31 Dec 2024

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Abstract

The topological embedding of a topological semigroup S, commutative with the property
of cancelation, into the group G ¼ S  S=R, (R the equivalence ða; bÞRða0
; b0
Þ () ab0 ¼ a0
b) to
which S is algebraically embedded, was the subject of the search for the mathematicians of a long
period. It was based on the fact that S must naturally be a uniform topological space, as every topological group was. The present paper is devoted to the fact that a quasi-uniformity is defined to any
topological space, thus to any topological semigroup.

DOI

10.1016/j.joems.2014.06.012

Keywords

Topological embedding, Quasi-uniformity, Specialization order, T0 and not T1 space

Authors

First Name

John

Last Name

Mastellos

MiddleName

-

Affiliation

Department of Mathematics, University of Patras, 26504 Patras, Greece

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Orcid

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Volume

23

Article Issue

2

Related Issue

50528

Issue Date

2015-07-01

Receive Date

2024-09-25

Publish Date

2015-07-01

Page Start

224

Page End

230

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 2_Pages 224-230.pdf

PDF . 475.6kB

Link

https://joems.journals.ekb.eg/article_381756.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381756

Order

381,756

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

The quasi-uniform character of a topological semigroup

Details

Type

Article

Created At

21 Dec 2024