A remark on a theorem of Y. Kurata (Q5957957)
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scientific article; zbMATH DE number 1719285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on a theorem of Y. Kurata |
scientific article; zbMATH DE number 1719285 |
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A remark on a theorem of Y. Kurata (English)
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13 November 2002
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Extending the reviewer's result, the author proves that for a semilocal ring \(R\) with essential left socle the Goldie torsion theory is centrally splitting if and only if \(\text{soc}(_RR)^2\subseteq\text{soc}(R_R)\). In order to verify that his result extends the reviewer's one, he also gives an example of a semilocal ring that is not a dual ring.
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semilocal rings
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essential left socles
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Goldie torsion theory
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centrally splitting torsion theories
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dual rings
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