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
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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0.8625908
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0.8602366
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0.85564494
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0.85506165
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0.84950817
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