JOURNAL ARTICLE
A note on Jordan*-derivations in semiprime rings with involution
Year: 2006 Journal: International Mathematical Forum Pages: 617-622
Abstract
In this paper we prove the following result. Let R be a 6−torsion free semiprime ∗−ring and let D: R → R be an additive mapping satisfying the relation D(xyx) = D(x)y∗x∗+xD(y)x ∗ +xyD(x), for all pairs x, y ∈ R. In this case D is a Jordan ∗−derivation.
Keywords:
Semiprime ring Mathematics Involution (esoterism) Mathematics Subject Classification Pure mathematics Semiprime Algebra over a field Discrete mathematics Combinatorics Philosophy
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9
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Citation History
Topics
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
Nonlinear Differential Equations Analysis
Physical Sciences → Mathematics → Applied Mathematics
Holomorphic and Operator Theory
Physical Sciences → Mathematics → Applied Mathematics
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