GENERALIZED SKEW DERIVATIONS AS JORDAN HOMOMORPHISMS ON MULTILINEAR POLYNOMIALS

- Journal title : Journal of the Korean Mathematical Society
- Volume 52, Issue 1, 2015, pp.191-207
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2015.52.1.191

Title & Authors

GENERALIZED SKEW DERIVATIONS AS JORDAN HOMOMORPHISMS ON MULTILINEAR POLYNOMIALS

De Filippis, Vincenzo;

De Filippis, Vincenzo;

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

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