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- W2963491214 abstract "Let $(R,mathfrak{m} )$ be an unmixed Noetherian local ring, $Q$ a parameter ideal and $K$ an $mathfrak{m} $-primary ideal of $R$ containing $Q$. We give a necessary and sufficient condition for $R$ to be Cohen-Macaulay in terms of $g_0(Q)$ and $g_1(Q)$, the Hilbert coefficients of $Q$ with respect to $K$. As a consequence, we obtain a result of Ghezzi, et al., which settles the negativity conjecture of Vasconcelos {vanishing-conjecture} in unmixed local rings." @default.
- W2963491214 created "2019-07-30" @default.
- W2963491214 creator A5067092820 @default.
- W2963491214 date "2018-06-01" @default.
- W2963491214 modified "2023-09-25" @default.
- W2963491214 title "On Hilbert coefficients of parameter ideals and Cohen-Macaulayness" @default.
- W2963491214 doi "https://doi.org/10.1216/jca-2018-10-3-393" @default.
- W2963491214 hasPublicationYear "2018" @default.
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