Let m, n be two nonzero fixed positive integers, R a prime ring with the right Martindale quotient ring Q, G and H two generalized skew derivations of R with the same associated automorphism α of R. If (Formula presented.) is an identity for R, then either R is commutative or there exists (Formula presented.) such that (Formula presented.), for any (Formula presented.).
Generalized skew derivations as a generalization of left Jordan multipliers in prime rings
De Filippis Vincenzo
2024-01-01
Abstract
Let m, n be two nonzero fixed positive integers, R a prime ring with the right Martindale quotient ring Q, G and H two generalized skew derivations of R with the same associated automorphism α of R. If (Formula presented.) is an identity for R, then either R is commutative or there exists (Formula presented.) such that (Formula presented.), for any (Formula presented.).File in questo prodotto:
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