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HIGHER LEFT DERIVATIONS ON SEMIPRIME RINGS  

Park, Kyoo-Hong (Department of Mathematics Education, Seowon University)
Publication Information
The Pure and Applied Mathematics / v.17, no.4, 2010 , pp. 355-362 More about this Journal
Abstract
In this note, we extend the Bresar and Vukman's result [1, Proposition 1.6], which is well-known, to higher left derivations as follows: let R be a ring. (i) Under a certain condition, the existence of a nonzero higher left derivation implies that R is commutative. (ii) if R is semiprime, every higher left derivation on R is a higher derivation which maps R into its center.
Keywords
higher left derivations; semiprime rings; center;
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  • Reference
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