Semiprime and semiperfect rings of Laurent series (Q1387324)
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scientific article; zbMATH DE number 1158896
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semiprime and semiperfect rings of Laurent series |
scientific article; zbMATH DE number 1158896 |
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Semiprime and semiperfect rings of Laurent series (English)
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4 August 1998
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We consider the properties of being semiprimitive and semiperfect for rings of Laurent series and give some sufficient conditions for these rings to be primitive. The main results are the following theorems: Theorem 1. If \(R\) is a \(\varphi\)-prime right Goldie ring, then the ring \(R((x,\varphi))\) of skew Laurent series is semiprimitive. Theorem 3. If a ring \(R\) is semiperfect, then the ring \(R((x,\varphi))\) is also semiperfect.
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prime right Goldie rings
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semiprimitive rings
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semiperfect rings
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rings of Laurent series
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