Regularity and \(K_0\)-group of quadric solvable polynomial algebras. (Q1408760)
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scientific article; zbMATH DE number 1985877
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity and \(K_0\)-group of quadric solvable polynomial algebras. |
scientific article; zbMATH DE number 1985877 |
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Regularity and \(K_0\)-group of quadric solvable polynomial algebras. (English)
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25 September 2003
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The author shows how to recognize and construct quadric solvable polynomial algebras in an algorithmic way. If \(A=k[a_1,\dots,a_n]\) is a quadric solvable polynomial algebra, it is proved that \(\text{gl.dim\,}A<n\), or \(\text{gl.dim\,}A=n\), and \(K_0(A)=\mathbb{Z}\). If \(A\) is a tame quadric solvable polynomial algebra, it is shown that \(A\) is completely constructable and Auslander regular.
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solvable polynomial algebras
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Gröbner bases
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\(K_0\)-groups
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0.7097315788269043
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0.707630455493927
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0.6982979774475098
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