Regular algebras of dimension 4 with 3 generators. (Q2895464)
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scientific article; zbMATH DE number 6052240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular algebras of dimension 4 with 3 generators. |
scientific article; zbMATH DE number 6052240 |
Statements
2 July 2012
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Artin-Schelter regular algebras
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graded algebras
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global dimension
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noncommutative projective geometry
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0.89747167
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0.8607626
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0.8501092
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0.8466954
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Regular algebras of dimension 4 with 3 generators. (English)
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An associative \(\mathbb N\)-graded algebra \(A=\bigoplus_{n\geqslant 0}A_n\) over a field \(k=A_0\) is AS-regular if \(A\) has finite global dimension \(d\), it has polynomial growth and \(A\) is AS-Gorenstein. There is given a complete classification of these algebras \(A\) in terms of defining relations in the case when \(d=4\) and \(A\) is 3-generated.NEWLINENEWLINEFor the entire collection see [Zbl 1232.16001].
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