Remarks on derivations on semiprime rings (Q1186353)
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scientific article; zbMATH DE number 36490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on derivations on semiprime rings |
scientific article; zbMATH DE number 36490 |
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Remarks on derivations on semiprime rings (English)
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28 June 1992
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The main theorem of this short note proves that if \(R\) is a semi-prime ring with a nonzero ideal \(K\) and a derivation \(D\) which satisfies either \(D([x,y])=[x,y]\) for all \(x,y \in K\), or \(D([x,y])=-[x,y]\) for all \(x,y \in K\), then \(K\) is central.
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central ideal
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semi-prime ring
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derivation
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