On a certain identity satisfied by a derivation and an arbitrary additive mapping (Q1801341)
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scientific article; zbMATH DE number 202384
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a certain identity satisfied by a derivation and an arbitrary additive mapping |
scientific article; zbMATH DE number 202384 |
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On a certain identity satisfied by a derivation and an arbitrary additive mapping (English)
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19 April 1995
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The authors prove that if \(R\) is a prime ring with nonzero derivation \(D\) and additive mapping \(f\) so that \(D(x)f(x) = 0\) for all \(x \in R\), then there is a nonzero left ideal \(L\) of \(R\) and a nonzero right ideal \(T\) of \(R\) with \(f(L) = f(T) = 0\).
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annihilators
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prime ring
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derivation
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additive mapping
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left ideal
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right ideal
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0.97906196
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0.88097286
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0.87924254
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0.8691533
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0.8679416
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0.86623085
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