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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 xR.

eISSN:
2300-133X
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics