Centrally-extended generalized Jordan derivations in rings

Bhushan, Bharat; Sandhu, Gurninder S.; Kumar, Deepak

doi:10.2478/aupcsm-2023-0004

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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Centrally-extended generalized Jordan derivations in rings

Abstract

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