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383732

A soft set theoretic approach to an AG-groupoid via ideal theory with applications

Article

Last updated: 29 Dec 2024

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Abstract

In this paper, we study the structural properties of a non-associative algebraic structure
called an AG-groupoid by using soft set theory. We characterize a right regular class of
an AG-groupoid in terms of soft intersection ideals and provide counter examples to
discuss the converse part of various problems. We also characterize a weakly regular
class of an AG***-groupoid by using generated ideals and soft intersection ideals. We
investigate the relationship between SI-left-ideal, SI-right-ideal, SI-two-sided-ideal, and
SI-interior-ideal of an AG-groupoid over a universe set by providing some practical
examples.

DOI

10.1186/s42787-019-0060-7

Keywords

Left invertive law, Soft-sets, AG-groupoid, Right regularity, Weak regularity and SI-ideals

Authors

First Name

Faisal

Last Name

Yousafzai

MiddleName

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Affiliation

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Email

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City

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Orcid

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First Name

Mohammed

Last Name

Khalaf

MiddleName

M.

Affiliation

Higher Institute of Engineering and Technology, King Mariout, Alexandria, Egyp

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Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-10-03

Publish Date

2019-12-01

Page Start

1

Page End

18

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_383732.html

Detail API

https://joems.journals.ekb.eg/service?article_code=383732

Order

383,732

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

A soft set theoretic approach to an AG-groupoid via ideal theory with applications

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Article

Created At

21 Dec 2024