Centrally-extended generalized Jordan derivations in rings

Bharat Bhushan; Gurninder S. Sandhu; Deepak Kumar

doi:10.2478/aupcsm-2023-0004

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Centrally-extended generalized Jordan derivations in rings

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 22 (2023): Issue 1 (January 2023)

By: Bharat Bhushan, Gurninder S. Sandhu and Deepak Kumar

Open Access

|Jul 2023

Abstract

In this article, we introduce the notion of centrally-extended generalized Jordan derivations and characterize the structure of a prime ring (resp. *-prime ring) R that admits a centrally-extended generalized Jordan derivation F satisfying [F(x), x] ∈ Z(R) (resp. [F(x), x*] ∈ Z(R)) for all x ∈ R.

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2023-0004 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 33 - 47

Submitted on: Oct 16, 2022

Accepted on: Mar 31, 2023

Published on: Jul 3, 2023

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Associative rings,

involution,

generalized Jordan derivation,

centrally extended generalized Jordan derivation

Related subjects:

Mathematics,

General mathematics

© 2023 Bharat Bhushan, Gurninder S. Sandhu, Deepak Kumar, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 22 (2023): Issue 1 (January 2023)