Generalized (?,?)-derivations on Jordan ideals in *-prime rings
Abstract
Let 2 will be a 2-torsion free *-prime ring and ?, ? ? Aut R. F be a nonzero generalized (?, ?)-derivation of R with associated nonzero (?, ?)-derivation d which commutes with * and J be a nonzero *-Jordan ideal and a subring of R. In the present paper, we shall prove that R is commutative if any one of the following holds: (i)[F(u), u]?? = 0, (ii)F(u)?(u) = ?(u)d(u), (iii)F(u2 = ±?(u2)), (iv)F(u2) = 2d(u)?(u), (v)d(u2) = 2F(u)?(u), for all u ? U. © 2013 The Author(s).
Source
Rendiconti del Circolo Matematico di PalermoVolume
63Issue
1Collections
- Makale Koleksiyonu [5745]