On the normality of generalized mixed product ideals (Q777075)

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scientific article; zbMATH DE number 7217590
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On the normality of generalized mixed product ideals
scientific article; zbMATH DE number 7217590

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    On the normality of generalized mixed product ideals (English)
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    3 July 2020
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    Let \(K\) be a field, \(S=K[X_1,\dots,X_n], I\subsetneq S\) be a monomial ideal and \(L\) be the generalized mixed product ideal induced by \(I.\)The author studies first the unmixedness of \(L\) giving several situations in which this happens. The second task is to study the normality of \(L\) and he shows that \(L\) is normal if and only if \(I\) is normal.
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    monomial ideal
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    unmixed ideal
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    normal ideal
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