Let R be a non-commutative prime ring of characteristic different from 2 with extended centroid C, F not equal 0 a generalized skew derivation of R, and n a parts per thousand yen 1 such that [F(x), x] (n) = 0, for all x a R. Then there exists an element lambda a C such that F(x) = lambda x, for all x a R.
Power-Commuting Generalized Skew Derivations in Prime Rings
CARINI, Luisa;DE FILIPPIS, Vincenzo;SCUDO, GIOVANNI
2016-01-01
Abstract
Let R be a non-commutative prime ring of characteristic different from 2 with extended centroid C, F not equal 0 a generalized skew derivation of R, and n a parts per thousand yen 1 such that [F(x), x] (n) = 0, for all x a R. Then there exists an element lambda a C such that F(x) = lambda x, for all x a R.File in questo prodotto:
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