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Centrally-extended generalized Jordan derivations in rings

Bharat Bhushan
Bharat Bhushan
, 
Gurninder S. Sandhu
Gurninder S. Sandhu
 et 
Deepak Kumar
Deepak Kumar
   | 03 juil. 2023
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica's Cover Image
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Publié en ligne: 03 juil. 2023
Pages: 33 - 47
Reçu: 16 oct. 2022
Accepté: 31 mars 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.

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.

eISSN:
2300-133X
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics
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