The exchange property for row and column-finite matrix rings. (Q1415362)
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scientific article; zbMATH DE number 2012758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The exchange property for row and column-finite matrix rings. |
scientific article; zbMATH DE number 2012758 |
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The exchange property for row and column-finite matrix rings. (English)
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3 December 2003
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The ring \(B(R)\) of all \(\omega\times\omega\) row-and-column-finite matrices over any von Neumann regular ring \(R\) is shown to be an exchange ring. More generally, the same is true of the multiplier ring of a non-unital regular ring with a countable unit.
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von Neumann regular rings
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multiplier rings
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exchange rings
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non-unital regular rings
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matrix rings
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