The structure of serial rings and self-duality (Q795139)
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scientific article; zbMATH DE number 3861360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of serial rings and self-duality |
scientific article; zbMATH DE number 3861360 |
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The structure of serial rings and self-duality (English)
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1983
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A left and right Artinian ring R is called serial if both Re and eR have a unique composition series for any primitive idempotent \(e\in R\). The author obtains a necessary and sufficient condition for two serial rings to be Morita equivalent and a sufficient condition under which a serial ring has a self-duality. The last result generalizes the work of \textit{J. K. Haack} [J. Algebra 59, 345-363 (1979; Zbl 0444.16012)]. The proofs will be given elsewhere.
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right Artinian ring
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composition series
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primitive idempotent
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serial rings
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Morita equivalent
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self-duality
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