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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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Bhushan et al. (2023) studied this question.
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