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386748

On Jordan *-mappings in rings with involution

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Last updated: 05 Jan 2025

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Abstract

The objective of this paper is to study Jordan -mappings in rings with involution . In
particular, we prove that if R is a prime ring with involution , of characteristic different from 2 and
D is a nonzero Jordan -derivation of R such that ½DðxÞ; x ¼ 0, for all x 2 R and
SðRÞ \ ZðRÞ – ð0Þ, then R is commutative. Further, we also prove a similar result in the setting
of Jordan left -derivation. Finally, we prove that any symmetric Jordan triple -biderivation on
a 2-torsion free semiprime ring with involution  is a symmetric Jordan -biderivation

DOI

10.1016/j.joems.2014.12.006

Keywords

Prime ring, Involution, Jordan -derivation, Jordan left -derivation, Symmetric Jordan -biderivation, Symmetric Jordan triple -biderivation

Authors

First Name

Shakir

Last Name

Ali

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Rabigh, King Abdulaziz University, Jeddah-21589, Kingdom of Saudi Arabia

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Orcid

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First Name

Nadeem

Last Name

Dar

MiddleName

Ahmad

Affiliation

Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Email

-

City

-

Orcid

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First Name

Hassan

Last Name

Okasha

MiddleName

M.

Affiliation

Department of Statistics, Faculty of Science, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

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Orcid

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Volume

24

Article Issue

1

Related Issue

51061

Issue Date

2016-03-01

Receive Date

2024-10-17

Publish Date

2016-03-01

Page Start

15

Page End

19

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 1_Pages 15-19.pdf

PDF . 417.4kB

Link

https://joems.journals.ekb.eg/article_386748.html

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https://joems.journals.ekb.eg/service?article_code=386748

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386,748

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On Jordan *-mappings in rings with involution

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Article

Created At

21 Dec 2024