<abstract xmlns="http://www.w3.org/1999/xhtml">

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

Centrally-extended generalized Jordan derivations in rings

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

{"article-title":"Centrally-extended generalized Jordan derivations in rings"}

In this article, we introduce the notion of centrally-extended generalized Jordan derivations and characterize the structure of a prime ring (resp. *-prime...

Centrally-extended generalized Jordan derivations in rings

Published Online: Jul 03, 2023

Page range: 33 - 47

Received: Oct 16, 2022

Accepted: Mar 31, 2023

DOI: https://doi.org/10.2478/aupcsm-2023-0004

© 2023 Bharat Bhushan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.