Jordan �m-derivations of prime rings
Journal
Rocky Mountain Journal of Mathematics
Journal Volume
47
Journal Issue
2
Pages
511-525
Date Issued
2017
Author(s)
Abstract
Let R be a noncommutative prime ring with extended centroid C and with Qmr(R) its maximal right ring of quotients. From the viewpoint of functional identities, we give a complete characterization of Jordan σ-derivations of R with σ an epimorphism. Precisely, given such a Jordan σ-derivation : R Qmr(R), it is proved that either is a σ-derivation or a derivation d: R Qmr(R) and a unit u 2 Qmr(R) exist such that (x) = ud(x) (x)u for all x 2 R, : R ! C is an additive map satisfying (x2) = 0 for all x 2 R. In addition, if σ is an X-outer automorphism, then is always a σ-derivation.
Type
journal article