A note on (?, ?)-derivations of rings with involution
Abstract
Let R be a 2-torsion free simple *-ring and D : R ? R be an additive mapping satisfiying D(xx*)= D(x)?(x*)+?(x)D(x*), for all x ? R. Then D is a (?, ?)-derivation of R or R is S4 ring. Also, if R is a 2-torsion free semiprime ring and G : R ? R is an additive mapping related with some (?, ?)-derivationD of R such that G(xx*)=G(x)?(x*)+ ?(x)D(x*), for all x ? R, then G is generalized (?, ?)-derivation of R. © 2014 Miskolc University Press.
Source
Miskolc Mathematical NotesVolume
15Issue
2Collections
- Makale Koleksiyonu [5745]