Let be a non-commutative prime ring of characteristic different from 2, with center () and extended centroid and let be a non-zero generalized derivation of . Denote by () = {(1,...,) : 1,..., ∈ }, the set of all the evaluations of a non-central polynomial (1,...,) over . If acts as a Lie homomorphism on () then is the identity map
Generalized Derivations Acting as Lie Homomorphisms on Polynomials in Prime Rings
SCUDO, GIOVANNI
2014-01-01
Abstract
Let be a non-commutative prime ring of characteristic different from 2, with center () and extended centroid and let be a non-zero generalized derivation of . Denote by () = {(1,...,) : 1,..., ∈ }, the set of all the evaluations of a non-central polynomial (1,...,) over . If acts as a Lie homomorphism on () then is the identity mapFile in questo prodotto:
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