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387509

Strong semilattices of topological groups

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Last updated: 31 Dec 2024

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Abstract

The notion of partial groups and their basic properties have been given in [1,2] . In this paper,
we introduce the concept of topological partial groups and discuss some of their basic properties.
So, the category of topological partial groups Tpg, as objects, and the homomorphisms of topologi-
cal partial groups, as arrows, have some deficiencies. To get over these deficiencies, we introduced the
category of locally compact partial groups denoted by Lcpg. Finally, we introduced the category of
strong semilattices of topological groups denoted by Sstg.

DOI

10.1016/j.joems.2016.03.003

Keywords

Partial group, topological group, Identification map, Strong semilattice, Partial group homomor- phism

Authors

First Name

A.

Last Name

Abd-Allah

MiddleName

M.

Affiliation

Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City Cairo 11884, Egypt

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Orcid

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First Name

A.

Last Name

Aggour

MiddleName

I.

Affiliation

Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City Cairo 11884, Egypt

Email

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City

-

Orcid

-

First Name

A.

Last Name

Fathy

MiddleName

-

Affiliation

Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City Cairo 11884, Egypt

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-

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Volume

24

Article Issue

4

Related Issue

51066

Issue Date

2016-12-01

Receive Date

2024-10-22

Publish Date

2016-12-01

Page Start

597

Page End

602

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 4_Pages 597-602.pdf

PDF . 381.7kB

Link

https://joems.journals.ekb.eg/article_387509.html

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https://joems.journals.ekb.eg/service?article_code=387509

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387,509

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Strong semilattices of topological groups

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Article

Created At

21 Dec 2024