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Study of Generalized Derivations in Rings with Involution

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Let R be a prime ring with involution of the second kind and centre Z(R). Suppose R admits a generalized derivation F : R → R associated with a derivation d : R →R. The purpose of this paper is to study the commutativity of a prime ring R satisfying any one of the following identities.

Abstract

Let R be a prime ring with involution of the second kind and centre Z(R). Suppose R admits a generalized derivation F : R → R associated with a derivation d : R →R. The purpose of this paper is to study the commutativity of a prime ring R satisfying any one of the following identities.

참고문헌 (19)

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  13. S. Huang, "On generalized derivations of prime and semiprime rings", Taiwanese J. Math, 16, pp.771~776 (2012)
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