Asymptotic periodicity of grade associated to multigraded modules (Q2845044)
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scientific article; zbMATH DE number 6200406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic periodicity of grade associated to multigraded modules |
scientific article; zbMATH DE number 6200406 |
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Asymptotic periodicity of grade associated to multigraded modules (English)
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22 August 2013
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module
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multigraded
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grade
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cone
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This paper investigates the stability of the grade of the graded components of an \(\mathbb{N}^r\)-graded module \(M\) over an \(\mathbb{N}^r\)-graded ring \(R\). That is, there is a cone \(C\) with the following property. For any lattice points \(c\) and \( d\) of \(C\), the grade of \(M_c\) coincides with \(M_d\) with respect to an ideal of \(R_0\).
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