Homological dimension and almost excellent extensions (Q2721692)
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scientific article; zbMATH DE number 1616446
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homological dimension and almost excellent extensions |
scientific article; zbMATH DE number 1616446 |
Statements
2 June 2002
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finitely presented dimension
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almost excellent extensions
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finite normalizing extensions
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0.96913785
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0.9357084
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0.9326805
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0.9263641
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Homological dimension and almost excellent extensions (English)
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Let \(R\) be an associative ring with identity. The finitely presented dimension of \(R\), denoted by \(\text{FPD}(R)\), was defined by \textit{Ho Kuen Ng} [see Pac. J. Math. 113, 417-431 (1984; Zbl 0558.13008)]. The following result is the main result of this paper: If \(R\subset S\) is an almost excellent extension then \(\text{rFPD}(S)=\text{rFPD}(R)\).
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