Principally quasi-Baer properties of group rings. (Q2859350)
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scientific article; zbMATH DE number 6223876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Principally quasi-Baer properties of group rings. |
scientific article; zbMATH DE number 6223876 |
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7 November 2013
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left p.q.-Baer rings
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quasi-Baer rings
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Baer rings
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group rings
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Principally quasi-Baer properties of group rings. (English)
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A ring \(R\) is called left p.q.-Baer if the left annihilator of a principal left ideal is generated, as a left ideal, by an idempotent. In the present paper the authors study this property for various classes of group rings \(RG\). The case \(R\) is semisimple and \(G\) is finite is studied in Proposition 1.10. It is proved that \(RD_\infty\) is left p.q.-Baer if and only if \(R\) is left p.q.-Baer (Theorem 4.2).
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