Rings with many idempotents (Q1587813)
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scientific article; zbMATH DE number 1538444
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rings with many idempotents |
scientific article; zbMATH DE number 1538444 |
Statements
Rings with many idempotents (English)
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28 February 2001
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An associative ring (with identity) \(R\) is said to satisfy idempotent 1-stable range provided that for any \(a,b\in R\), \(aR+bR=R\) implies that there exists an idempotent \(e\in R\) such that \(a+be\) is left invertible in \(R\). In this paper the author gives some characterizations of rings satisfying idempotent 1-stable range.
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idempotent 1-stable range
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exchange rings
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Whitehead groups
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idempotents
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units
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