Notes on Jordan (sigma, tau)*-derivations and Jordan triple (sigma, tau)*-derivations
Notes on Jordan (sigma, tau)*-derivations and Jordan triple (sigma, tau)*-derivations
Let R be a 2-torsion free semiprime *-ring, sigma, tau two epimorphisms of R and f, d : R -> R two additive mappings. In this paper we prove the following results: (i) d is a Jordan (sigma, tau)*-derivation if and only if d is a Jordan triple (sigma, tau)*-derivation. (ii) f is a generalized Jordan (sigma, tau)*-derivation if and only if f is a generalized Jordan triple (sigma, tau)*-derivation.
WOS: 000320040200025
- Cumhuriyet University Turkey
Prime and semiprime associative rings, Semiprime *-ring, generalized Jordan triple derivations, generalized Jordan triple (sigma, generalized Jordan (sigma, tau)*-derivation, Jordan triple (sigma, additive maps, Jordan triple (sigma, tau)*-derivation, generalized Jordan (sigma, generalized Jordan derivations, generalized Jordan triple (sigma, tau)*-derivation, semiprime *-rings, tau)*-derivation, Rings with involution; Lie, Jordan and other nonassociative structures, (sigma, (sigma, tau)*-derivation, Jordan (sigma, *-derivation, Derivations, actions of Lie algebras, Jordan (sigma, tau)*-derivation
Prime and semiprime associative rings, Semiprime *-ring, generalized Jordan triple derivations, generalized Jordan triple (sigma, generalized Jordan (sigma, tau)*-derivation, Jordan triple (sigma, additive maps, Jordan triple (sigma, tau)*-derivation, generalized Jordan (sigma, generalized Jordan derivations, generalized Jordan triple (sigma, tau)*-derivation, semiprime *-rings, tau)*-derivation, Rings with involution; Lie, Jordan and other nonassociative structures, (sigma, (sigma, tau)*-derivation, Jordan (sigma, *-derivation, Derivations, actions of Lie algebras, Jordan (sigma, tau)*-derivation
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