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GENERALIZED SKEW DERIVATIONS AS JORDAN HOMOMORPHISMS ON MULTILINEAR POLYNOMIALS
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 Title & Authors
GENERALIZED SKEW DERIVATIONS AS JORDAN HOMOMORPHISMS ON MULTILINEAR POLYNOMIALS
De Filippis, Vincenzo;
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 Abstract
Let be a prime ring of characteristic different from 2, be its right Martindale quotient ring and be its extended centroid. Suppose that is a nonzero generalized skew derivation of , is the associated automorphism of , f(, , ) is a non-central multilinear polynomial over with n non-commuting variables and . If acts as a Jordan homomorphism on , then either for all , or .
 Keywords
polynomial identity;generalized skew derivation;prime ring;
 Language
English
 Cited by
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