Differential polynomial rings which are generalized Asano prime rings. (Q395121)
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scientific article; zbMATH DE number 6251432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential polynomial rings which are generalized Asano prime rings. |
scientific article; zbMATH DE number 6251432 |
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Differential polynomial rings which are generalized Asano prime rings. (English)
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28 January 2014
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Let \(R\) be a prime Goldie ring with quotient ring \(Q\), and let \(\delta\) be a derivation of \(R\). The authors determine the maximal \(v\)-ideals of \(R[x;\delta]\). They prove that \(R[x;\delta]\) is a generalized Asano prime ring if and only if \(R\) is a \(\delta\)-generalized Asano prime ring.
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differential polynomial rings
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generalized Asano prime rings
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prime Goldie rings
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\(\delta\)-stable \(v\)-ideals
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