Exchange rings having ideal-stable range one (Q1609668)
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scientific article; zbMATH DE number 1782111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exchange rings having ideal-stable range one |
scientific article; zbMATH DE number 1782111 |
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Exchange rings having ideal-stable range one (English)
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15 August 2002
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An ideal-stable range one condition for exchange rings \(R\) is introduced. It is shown that under this condition, every regular square matrix over the ideal is the product of an idenpotent matrix and an invertible matrix over \(R\), and admits a diagonal reduction.
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exchange rings
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