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Lie ideals and generalized (α, β)-derivations of *-prime rings
- Source :
- Afrika Matematika. 24:503-510
- Publication Year :
- 2012
- Publisher :
- Springer Science and Business Media LLC, 2012.
-
Abstract
- Let (R, *) be a 2-torsion free *-prime ring with involution *, L ≠ 0 be a square closed *-Lie ideal of R and α, β automorphisms of R commuting with *. An additive mapping F: R → R is called a generalized (α, β)-derivation on R if there exists an (α, β)-derivation d such that F(xy) = F(x)α(y) + β(x)d(y) holds for all \({x, y \in R}\). In the present paper, we shall show that \({L\subseteq Z(R)}\) such that R is a *-prime ring admits a generalized (α, β)-derivation satisfying several conditions, but associated with an (α, β)-derivation commuting with *.
- Subjects :
- Pure mathematics
General Mathematics
Prime ring
Automorphism
Mathematics
Subjects
Details
- ISSN :
- 21907668 and 10129405
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- Afrika Matematika
- Accession number :
- edsair.doi...........1639c531ed4969a8c793742394f95e03