Duo group rings. (Q872191)
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scientific article; zbMATH DE number 5137684
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Duo group rings. |
scientific article; zbMATH DE number 5137684 |
Statements
Duo group rings. (English)
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27 March 2007
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A ring \(R\) is said to be (i) `duo' if every one-sided ideal is two-sided, and (ii) `reversible' if whenever \(\alpha\beta=0\) for \(\alpha,\beta\in R\), then \(\beta\alpha=0\). The main result of this paper states that, for the group algebra \(KG\) of a torsion group \(G\) over a field \(K\), these two properties are equivalent.
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group rings
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group algebras
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duo rings
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reversible rings
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