A convenient category of topological partial groups - Egyptian Knowledge Bank

382882

A convenient category of topological partial groups

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Last updated: 31 Dec 2024

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Abstract

In this paper, the concept of ℘-continuous map is introduced and some of their basic
properties are discussed. Also, the category K´, of topological partial groups, as objects
and the ℘-morphisms of topological partial groups, as arrows, is introduced, which is
alternative to the category K, of topological spaces, as objects and k-continuous maps,
as arrows, and satisfies the same nice properties of the category kpg, of k-partial
groups, as objects, and the morphisms of k-partial groups, as arrows (Abd- Allah et al., J.
Egyption Math. Soc 25:276-278, 2017).

DOI

10.1186/s42787-019-0010-4

Keywords

Partial group, Partial group homomorphism, topological group, Topological partial group, k-partial group

Authors

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Last Name

Fathy

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Affiliation

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

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Article Issue

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-09-30

Publish Date

2019-12-01

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Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 27_Issue 1_Pages 1-11.pdf

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https://joems.journals.ekb.eg/article_382882.html

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Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

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