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Research Article | Open Access

Characterization of ( α , β ) Jordan bi-derivations in prime rings

Wasim Ahmed1( ), Amal S. Alali2, Muzibur Rahman Mozumder3
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh-11671, Saudi Arabia
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
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Abstract

Let S be a prime ring with automorphisms α , β. A bi-additive map D is called an ( α , β) Jordan bi-derivation if D ( k 2 , s ) = D ( k , s ) α ( k ) + β ( k ) D ( k , s ). In this paper, we find conditions under which a symmetric ( α , β) Jordan bi-derivation becomes a symmetric ( α , β) bi-derivation. We also characterize the symmetric ( α , β ) Jordan bi-derivations.

Keywords

prime ringJordan derivationsymmetric (α, β) Jordan bi-derivation
CLC number: 16W25, 16N60

References

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AIMS Mathematics
Volume 9 Issue 6,
May 2024
Pages 14549-14557
DOI: 10.3934/math.2024707

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Cite this article:
Ahmed W, Alali AS, Mozumder MR. Characterization of ( α , β ) Jordan bi-derivations in prime rings. AIMS Mathematics, 2024, 9(6): 14549-14557. https://doi.org/10.3934/math.2024707

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Received: 22 February 2024
Revised: 30 March 2024
Accepted: 09 April 2024
Published: 22 April 2024
©2024 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)