σ- ideals and generalized derivations in σ-prime rings

Let R be a prime ring and F and G be generalized derivations of R with associated derivations d and g respectively. In the present paper, we shall investigate the commutativity of R admitting generalized derivations F and G satisfying any one of the properties: (i) F(x)x = x G(x), (ii) F(x2) = x2 ,...

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Bibliographic Details
Main Authors: M. Rais Khan, Deepa Arora, M. Ali Khan
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2013-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/12119