
LetMbe a 2-torsion-free semiprimeΓ-ring satisfying the conditionaαbβc=aβbαcfor alla,b,c∈M, α,β∈Γ, and letD:M→Mbe an additive mapping such thatD(xαx)=D(x)αx+xαd(x)for allx∈M, α∈Γand for some derivationdofM. We prove thatDis a generalized derivation.
Algebra and Number Theory, Deformations and Structures of Hom-Lie Algebras, Study of properties and structures of commutative rings, Cluster Algebras and Triangulated Categories, Generalizations, additive maps, semiprime \(\Gamma\)-rings, Computer science, generalized derivations, Derivations, Algorithm, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Derivations, actions of Lie algebras, Mathematics
Algebra and Number Theory, Deformations and Structures of Hom-Lie Algebras, Study of properties and structures of commutative rings, Cluster Algebras and Triangulated Categories, Generalizations, additive maps, semiprime \(\Gamma\)-rings, Computer science, generalized derivations, Derivations, Algorithm, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Derivations, actions of Lie algebras, Mathematics
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