One-sided bounds and the vanishing of Ext (Q1355605)
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scientific article; zbMATH DE number 1014002
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One-sided bounds and the vanishing of Ext |
scientific article; zbMATH DE number 1014002 |
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One-sided bounds and the vanishing of Ext (English)
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18 August 1998
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Let the ring \(R\) be a fibre product of \(R_1\) and \(R_2\) over \(R'\). \textit{E. Kirkman} and \textit{J. Kuzmanovich} [J. Algebra 109, 74-92 (1987; Zbl 0621.16029)]\ showed that bounds on the left global dimension of \(R\) are concerned with the left-hand side of the rings \(R_i\) and with the right-hand side of the \(R\)-modules \(R_i\), \(i=1,2\). The author provides a ``one-sided'' analogue of this, and other, results. The benefits in doing so are presented.
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bimodules
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fibre products
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finitistic dimensions
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\(T\)-nilpotence
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flat dimensions
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global dimensions
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