JOURNAL ARTICLE
On Jordan and Jordan*-generalized derivations in semiprime rings with involution
M. N. DaifM. S. Tammam El-Sayiad
Year: 2007 Journal: International Journal of Contemporary Mathematical Sciences Vol: 2 Pages: 1487-1492
Abstract
The purpose of this note is to prove the following result. Let R be a6 −torsion free semiprime *-ring and let G: R−→R be an additive mapping such that G(xyx )= G(x)y ∗ x ∗ + xD(y)x ∗ + xyD(x) holds for all x,y ∈ R and some *-derivations D of R. Then G is a Jordan*generalized derivation.
Keywords:
Involution (esoterism) Semiprime ring Semiprime Mathematics Pure mathematics Philosophy Epistemology Combinatorics
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Topics
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
Rings, Modules, and Algebras
Physical Sciences → Mathematics → Algebra and Number Theory
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