The quadratic algebras associated with pseudo-roots of noncommutative polynomials are Koszul algebras. (Q1882981)
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scientific article; zbMATH DE number 2105339
| Language | Label | Description | Also known as |
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| English | The quadratic algebras associated with pseudo-roots of noncommutative polynomials are Koszul algebras. |
scientific article; zbMATH DE number 2105339 |
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The quadratic algebras associated with pseudo-roots of noncommutative polynomials are Koszul algebras. (English)
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1 October 2004
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In the present paper, a class of quadratic algebras \(Q_n\) is defined by relations modeled on the relations given by the noncommutative Vieta Theorem of Gelfand and Retakh. Then the authors show that the algebras \(Q_n\) are Koszul algebras.
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quadratic algebras
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Koszul algebras
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noncommutative polynomials
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relations
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