Let R be a prime ring of characteristic different from 2, C its extended centroid and L a non-central Lie ideal of R. If (Formula presented.) and (Formula presented.) are two non-zero generalized derivations of R such that (Formula presented.) for all (Formula presented.), then (Formula presented.) for some (Formula presented.) except possibly when R satisfies the standard identity (Formula presented.) of degree 4.
A quadratic generalized differential identity on Lie ideals of Prime Rings
De Filippis V.;
2020-01-01
Abstract
Let R be a prime ring of characteristic different from 2, C its extended centroid and L a non-central Lie ideal of R. If (Formula presented.) and (Formula presented.) are two non-zero generalized derivations of R such that (Formula presented.) for all (Formula presented.), then (Formula presented.) for some (Formula presented.) except possibly when R satisfies the standard identity (Formula presented.) of degree 4.File in questo prodotto:
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