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Stable rings generated by their units - MaRDI portal

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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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