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384551

Generalization of soft topological groups

Article

Last updated: 31 Dec 2024

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Abstract

There exists two different definitions for soft topological groups, the first due to Hida
and the other due to Tariq Shah. In this paper, we give a generalization for both of
them, and also, we study the topological properties for the construction of finer soft
topology made by Nazmul and use the same technique to construct a soft topological
group via Hida concept starting from a parametrized family of topological groups.
Then, we introduce the concept of soft rough and rough soft topological group to
generalize the concept of rough and soft topological group.

DOI

10.1186/s42787-020-00075-7

Keywords

topological group, Soft topological group, Generalized soft topological groups, Rough topological group, Soft rough topological group, Rough soft topological group

Authors

First Name

M.

Last Name

Nunokawa

MiddleName

-

Affiliation

University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba 260-0808, Japan

Email

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Orcid

-

First Name

E.

Last Name

Duman

MiddleName

Yavuz

Affiliation

Department of Mathematics and Computer Science, I_stanbul Ku¨ltu¨r University, I_stanbul, Turkey

Email

-

City

-

Orcid

-

First Name

J.

Last Name

Soko

MiddleName

-

Affiliation

Department of Mathematics, Rzeszo´w University of Technology, Al. Powstan´co´w Warszawy 12, 35-959 Rzeszo´w, Poland

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-

City

-

Orcid

-

First Name

O.

Last Name

Tantawy

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

S.

Last Name

Kandil

MiddleName

A.

Affiliation

Basic Science Department, Canadian International college (CIC), Cairo, Egypt

Email

-

City

-

Orcid

-

First Name

A.

Last Name

ElShamy

MiddleName

-

Affiliation

Basic Science Department, Canadian International college (CIC), Cairo, Egypt

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-

City

-

Orcid

-

Volume

28

Article Issue

1

Related Issue

50535

Issue Date

2020-06-01

Receive Date

2024-10-07

Publish Date

2020-06-01

Page Start

1

Page End

10

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 28_Issue 1_Pages 1-10.pdf

PDF . 504.1kB

Link

https://joems.journals.ekb.eg/article_384551.html

Detail API

https://joems.journals.ekb.eg/service?article_code=384551

Order

384,551

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Generalization of soft topological groups

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Article

Created At

21 Dec 2024