On generalized Jordan ∗-derivation in rings | Zendy

Nadeem ur Rehman | Zendy; Abu Zaid Ansari | Zendy; Tarannum Bano | Zendy

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On generalized Jordan ∗-derivation in rings

Author(s) -

Nadeem ur Rehman,

Abu Zaid Ansari,

Tarannum Bano

Publication year - 2013

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2013.04.011

Subject(s) - mathematics , combinatorics , integer (computer science) , torsion (gastropod) , element (criminal law) , ring (chemistry) , discrete mathematics , pure mathematics , medicine , chemistry , surgery , organic chemistry , computer science , political science , law , programming language

Let n⩾1 be a fixed integer and let R be an (n+1)!-torsion free ∗-ring with identity element e. If F, d:R→R are two additive mappings satisfying F(xn+1)=F(x)(x∗)n+xd(x)(x∗)n−1+x2d(x)(x∗)n−2+⋯+xnd(x) for all x∈R, then d is a Jordan ∗-derivation and F is a generalized Jordan ∗-derivation on R

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