Stable rings generated by their units (Q1607738)
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scientific article; zbMATH DE number 1780264
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stable rings generated by their units |
scientific article; zbMATH DE number 1780264 |
Statements
Stable rings generated by their units (English)
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13 August 2002
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Rings \(R\) satisfying the following condition are studied. For an integer \(m \geq 1\), a ring \(R\) satisfies \((m,1)\)-stable range if \(aR+bR=R\) implies that \( R(a+by)=R\) with \(y\) being the sum of \(m\) units in \(R\). This condition is stronger than the first stable range condition of Bass, where \(y \in R\) is arbitrary.
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stable range
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0.8695310354232788
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0.8236607313156128
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