On additive maps and commutativity in rings (Q1306271)
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scientific article; zbMATH DE number 1346908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On additive maps and commutativity in rings |
scientific article; zbMATH DE number 1346908 |
Statements
On additive maps and commutativity in rings (English)
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18 June 2000
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Various results concerning (skew-)commuting and skew-centralizing maps on (semi)prime rings are obtained. A sample result: Let \(R\) be a 2-torsionfree semiprime ring, \(U\) be a nonzero left ideal of \(R\) and \(d\) be a derivation of \(R\). If \(d\) is skew-commuting on \(U\) (that is, \(ud(u)+d(u)u=0\) for all \(u\in U\)), then \(d(U)=0\).
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skew-commuting maps
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endomorphisms
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prime rings
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skew-centralizing maps
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semiprime rings
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derivations
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