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Research Article | Open Access

A characterization of b −generalized derivations on prime rings with involution

Mohd Arif Raza1( ), Abdul Nadim Khan1, Husain Alhazmi2
Department of Mathematics, College of Science and Arts-Rabigh, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
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Abstract

In this note, we characterize b −generalized derivations which are strong commutative preserving (SCP) on R . Moreover, we also discuss and characterize b −generalized derivations involving certain ∗ −differential/functional identities on rings possessing involution.

Keywords

prime ringb−generalized derivationgeneralized polynomial identity (GPI)
CLC number: 16W10, 16N60, 16W25

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AIMS Mathematics
Volume 7 Issue 2,
February 2022
Pages 2413-2426
DOI: 10.3934/math.2022136

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Cite this article:
Raza MA, Khan AN, Alhazmi H. A characterization of b −generalized derivations on prime rings with involution. AIMS Mathematics, 2022, 7(2): 2413-2426. https://doi.org/10.3934/math.2022136

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Received: 11 July 2021
Accepted: 08 November 2021
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)