Generalized reverse derivations and commutativity of prime rings

Let be a prime ring with center ) and a nonzero right ideal of . Suppose that admits a generalized reverse derivation ( , ) such that )) ≠ 0. In the present paper, we shall prove that if one of the following conditions holds: (i) ( ) ± ∈ (ii) ([ , ]) ± [ ( ), ] ∈ (iii) ([ ]) [ ( ), ( )] ∈ (iv) ( ο )...

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Veröffentlicht in:	Communications in Mathematics 2019-06, Vol.27 (1), p.43-50
1. Verfasser:	Huang, Shuliang
Format:	Artikel
Sprache:	eng
Schlagworte:	16A70 16N60 16W25 generalized reverse derivations Mathematics Prime rings reverse derivations
Online-Zugang:	Volltext
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