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The compatibility, independence, and linear growth properties - MaRDI portal

The compatibility, independence, and linear growth properties (Q2895436)

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scientific article; zbMATH DE number 6052213
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English
The compatibility, independence, and linear growth properties
scientific article; zbMATH DE number 6052213

    Statements

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    2 July 2012
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    primary decomposition
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    weak primary decomposition
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    secondary representation
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    associated prime
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    attached prime
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    compatibility
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    independence
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    linear growth
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    The compatibility, independence, and linear growth properties (English)
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    The paper under review is a survey paper that contains of two parts. The first part is about primary decomposition. After reviewing the basic definitions, the author survey the compatibility, independence, and linear growth properties. Then, he proves the linear growth property of primary decomposition for a new family of modules. In the second part he studies secondary representation, which can be viewed as a dual of primary decomposition. Correspondingly, he studies the compatibility, independence, and linear growth properties of secondary representations.NEWLINENEWLINEFor the entire collection see [Zbl 1237.13005].
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