Dependent Elements of Derivations on Semiprime Rings
We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d. We show that there exist ideals U and V of R such that U⊕V is an essential ideal of R, U∩V={0}, d=0 on U, d(V)⊆V, and d acts freely on V.
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| Hoofdauteurs: | , |
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| Formaat: | Artigo |
| Taal: | Inglês |
| Gepubliceerd in: |
Wiley
2009-01-01
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| Reeks: | International Journal of Mathematics and Mathematical Sciences |
| Online toegang: | http://dx.doi.org/10.1155/2009/696737 |
| Tags: |
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