Geometric classification of quadratic algebras in two variables. (Q1957991)
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scientific article; zbMATH DE number 5792246
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric classification of quadratic algebras in two variables. |
scientific article; zbMATH DE number 5792246 |
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Geometric classification of quadratic algebras in two variables. (English)
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28 September 2010
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Let \(A\) be a graded algebra generated by two homogeneous elements of degree 1 with quadratic defining relations. It is shown that there can be at most 4 defining relations of this kind. There is given a classification of the algebras \(A\) up to graded isomorphism and up to graded Morita equivalence. The most essential is the case of one defining relation. If \(A\) is a domain then these algebras were classified by E. Shirikov.
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graded rings
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two-generator rings
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quadratic algebras
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graded Morita equivalences
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