On generalized Jordan *-derivation in rings | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 22, Issue 1, 2014, Pages 11-13 PDF (320.77 K) | ||
| Document Type: Original Article | ||
| DOI: 10.1016/j.joems.2013.04.011 | ||
| Authors | ||
| Nadeem ur Rehman Rehman; Abu Zaid Ansari; Tarannum Bano | ||
| Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India | ||
| Abstract | ||
| Let n P 1 be a fixed integer and let R be an (n+1)!-torsion free *-ring with identity element e. If F, d:Rfi R are two additive mappings satisfying F(xn+1) = F(x)(x*)n + xd(x)(x*)n1+ x2d(x)(x*)n2+ +xnd(x) for all x 2 R, then d is a Jordan *-derivation and F is a generalized Jordan *-derivation on R. | ||
| Keywords | ||
| Additive mappings; Semiprime rings and involution | ||
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