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Lie Ideals and Centralizing Mappings with Generalized Derivations

Authors
Type
Published Article
Journal
Journal of Scientific Research and Reports
Publisher
Sciencedomain International
Publication Date
Jan 09, 2016
Volume
11
Identifiers
DOI: 10.9734/jsrr/2016/26822
Source
MyScienceWork
License
White

Abstract

Let R be a prime ring with char(R) ≠ 2, Z(R) the center of R and L be a nonzero square closed Lie ideal of R. An additive mapping F : R → R is called a generalized derivation on R if there exists a derivation d : R → R such that F(xy) = xF(y) + d(x)y for all x, y ∈ R. In the present paper we shall show that L ⊆ Z(R) such that R admitting a generalized derivations F and G associated with derivations d and g respectively, satisfying several conditions.

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