Level rings and algebras with straightening laws (Q1106895)

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scientific article; zbMATH DE number 4063236
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Level rings and algebras with straightening laws
scientific article; zbMATH DE number 4063236

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    Level rings and algebras with straightening laws (English)
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    1988
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    Let R be a graded Cohen-Macaulay k-algebra with Hilbert series \((h_ 0+h_ 1t+...+h_ st^ s)/(1-t)^ d\), \(h_ s\neq 0\). Then R is called level if \(h_ s=CM\)-type(R). The main part of this article consists in proving the following theorem: Every graded 3-dimensional domain with straightening law is level.
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    level rings
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    Hilbert series
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    graded 3-dimensional domain with straightening law
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