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On Lie ideals of -prime rings with generalized derivations
Journal article   Peer reviewed

On Lie ideals of -prime rings with generalized derivations

Nadeem Ur Rehman, Radwan Mohammed Al-Omary and Abu Zaid Ansari
Boletín de la Sociedad Matemática Mexicana, Vol.21(1), pp.19-26
01/04/2015
DOI: https://doi.org/10.1007/s40590-014-0029-3

Abstract

Mathematics Physical Sciences Science & Technology
Let (R, *) be a 2-torsion free *-prime ring with involution *, and L not equal 0 be a *-Lie ideal of R. An additive mapping F: R -> R is called a generalized derivation on R if there exists a derivation d: R -> R such that F(xy) = F(x) y + xd(y) holds for all x, y is an element of R. In the present paper, we shall show that when L satisfies any of several identities involving F, then L is central.

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