Group graded associated ideals with flat base change of rings and short exact sequences (Q353977)

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scientific article; zbMATH DE number 6188684
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Group graded associated ideals with flat base change of rings and short exact sequences
scientific article; zbMATH DE number 6188684

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    Group graded associated ideals with flat base change of rings and short exact sequences (English)
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    17 July 2013
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    The authors apply the theory of primary decomposition over rings graded by finitely generated abelian groups to the study of the behavior of \(G\)-associated ideals with short exact sequences. The notion of \(G\)-associated prime ideal is considered for rings which are not necessarily noetherian. The authors introduce strong Krull \(G\)-associated ideals with flat base change of rings.
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    graded ring
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    graded module
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    noetherian ring
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    \(G\)-associated ideals
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