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386738

On Jordan left-I-centralizers of prime and semiprime gamma rings with involution

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Last updated: 05 Jan 2025

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Abstract

LetMbe a 2-torsion free C-ring with involution I satisfying the condition xaybz ¼ xbyaz
for all x; y; z 2 M and a; b 2 C. The object of our paper is to show that every Jordan left-I-centralizer
on a semiprime C-ring with involution I, is a reverse left-I-centralizer. We solve some functional
equations in prime and semiprime C-rings with involution I by means of the above results. Moreover,
we discuss some more related results.

DOI

10.1016/j.joems.2014.08.002

Keywords

Prime C-ring, Semiprime C-ring, Involution

Authors

First Name

Kalyan

Last Name

Dey

MiddleName

Kumar

Affiliation

Department of Mathematics, Rajshahi University, Rajshahi 6205, Bangladesh

Email

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Orcid

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First Name

Akhil

Last Name

Paul

MiddleName

Chandra

Affiliation

Department of Mathematics, Rajshahi University, Rajshahi 6205, Bangladesh

Email

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City

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Orcid

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First Name

Bijan

Last Name

Davvaz

MiddleName

-

Affiliation

Department of Mathematics, Yazd University, Yazd, Iran

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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

8

Page End

14

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 1_Pages 8-14.pdf

PDF . 419.6kB

Link

https://joems.journals.ekb.eg/article_386738.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386738

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386,738

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On Jordan left-I-centralizers of prime and semiprime gamma rings with involution

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Article

Created At

21 Dec 2024