Let R be a prime ring of characteristic different from 2, Q(r) the right Martindale quotient ring of R, L the extended centroid of R, F, G two generalized skew derivations of R, and k >= 1 be a fixed integer. If[F(r), r](k) r - r[G(r), r](k) = 0 for all r is an element of R, then there exist a is an element of Q(r) and lambda is an element of L such that F(x) = xa and G(x) = (a + lambda)x, for all x is an element of R.
ENGEL-TYPE CONDITIONS INVOLVING TWO GENERALIZED SKEW DERIVATIONS IN PRIME RINGS
DE FILIPPIS, Vincenzo
2016-01-01
Abstract
Let R be a prime ring of characteristic different from 2, Q(r) the right Martindale quotient ring of R, L the extended centroid of R, F, G two generalized skew derivations of R, and k >= 1 be a fixed integer. If[F(r), r](k) r - r[G(r), r](k) = 0 for all r is an element of R, then there exist a is an element of Q(r) and lambda is an element of L such that F(x) = xa and G(x) = (a + lambda)x, for all x is an element of R.File in questo prodotto:
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