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Strong commutativity preserving generalized derivations on right ideals

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Abstract

We characterize a prime ring R which admits a generalized derivation g and a map f : ρ → R such that [ f (x), g(y)] = [x, y] for all \({x,y\in \rho}\) , where ρ is a nonzero right ideal of R. With this, several known results can be either deduced or generalized.

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Authors and Affiliations

  1. Department of Mathematics, National Changhua University of Education, Changhua, 500, Taiwan

    Cheng-Kai Liu

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  1. Cheng-Kai Liu
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Correspondence to Cheng-Kai Liu.

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Communicated by John S. Wilson.

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Liu, CK. Strong commutativity preserving generalized derivations on right ideals. Monatsh Math 166, 453–465 (2012). https://doi.org/10.1007/s00605-010-0281-1

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  • DOI: https://doi.org/10.1007/s00605-010-0281-1

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