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Centrally-extended generalized Jordan derivations in rings

Bharat Bhushan

Bharat Bhushan

1 Chitkara University Institute of Engineering and Technology, Chitkara UniversityRajpura, India
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Bhushan, Bharat
, 
Gurninder S. Sandhu

Gurninder S. Sandhu

Department of Mathematics, Patel Memorial National CollegeRajpura, India
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Sandhu, Gurninder S.
 and 
Deepak Kumar

Deepak Kumar

Department of Mathematics, Punjabi UniversityPatiala, India
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Kumar, Deepak
  
Jul 03, 2023
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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
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© 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.

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English
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Journal Subjects:
Mathematics, General Mathematics
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