Derivations as homomorphisms or anti-homomorphisms on Lie ideals. (Q2644343)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivations as homomorphisms or anti-homomorphisms on Lie ideals. |
scientific article |
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Derivations as homomorphisms or anti-homomorphisms on Lie ideals. (English)
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31 August 2007
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The authors show that if a derivation \(D\) of a prime ring \(R\) with \(\text{char\,}R\neq 2\), acts like a (anti-) homomorphism on a noncentral Lie ideal of \(R\), then \(D=0\).
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derivations
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prime rings
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homomorphisms
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