A numerical criterion for the generalized Koszul property. (Q883511)
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scientific article; zbMATH DE number 5161238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A numerical criterion for the generalized Koszul property. |
scientific article; zbMATH DE number 5161238 |
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A numerical criterion for the generalized Koszul property. (English)
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4 June 2007
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The main result of this paper (Theorem 3.2) is a generalization of a result which was proved by \textit{A. Beilinson, V. Ginzburg}, and \textit{W. Soergel} [in J. Am. Math. Soc. 9, No. 2, 473-527 (1996; Zbl 0864.17006)], and it is a numerical criterion for the \(N\)-Koszul property for connected \(\mathbb{N}\)-graded algebras.
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connected graded algebras
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Koszul property
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quadratic algebras
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Hilbert series
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Yoneda algebras
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projective covers
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