NOTES ON GENERALIZED DERIVATIONS OF *-PRIME RINGS
Abstract
Let R be a *-prime ring with characteristic different from two and U not equal 0 be a square closed *-Lie ideal of R. An additive mapping F : R -> R is called an generalized derivation if there exits a derivation d : R -> R such that F(xy) = F(x)y + xd(y). In the present paper, it is shown that U subset of Z if R is a *-prime ring which admits a generalized derivation satisfying several conditions that are associated with a derivation commuting with *.
Source
MISKOLC MATHEMATICAL NOTESVolume
15Issue
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