A special identity of \((\alpha,\beta)\)-derivations and its consequences (Q1365327)
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scientific article; zbMATH DE number 1054445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A special identity of \((\alpha,\beta)\)-derivations and its consequences |
scientific article; zbMATH DE number 1054445 |
Statements
A special identity of \((\alpha,\beta)\)-derivations and its consequences (English)
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6 October 1997
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The paper deals with \((\alpha,\beta)\)-derivations of prime rings satisfying some special relations. In the main result \((\alpha,\beta)\)-derivations \(\delta,g,h\) satisfying \(\delta(x)=ag(x)+h(x)b\) for all \(x\) in a nonzero ideal \(U\) of a prime ring \(R\) are characterized. Here, \(a\) and \(b\) are noncentral elements of the symmetric Martindale ring of quotients of \(R\).
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\((\alpha, \beta)\)-derivations
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prime rings
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symmetric Martindale rings of quotients
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