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- W2951548988 abstract "Let $M$ be a finitely generated module over a Noetherian local ring. This paper reports, for a given parameter ideal $Q$ for $M$, a criterion for the equality $chi_1(Q;M)=operatorname{hdeg}_Q(M)-mathrm{e}_Q^0(M)$, where $chi_1(Q;M)$, $operatorname{hdeg}_Q(M)$, and $mathrm{e}_Q^0(M)$ respectively denote the first Euler characteristic, the homological degree, and the multiplicity of $M$ with respect to $Q$. We also study homological torsions of $M$ and give a criterion for a certain equality of the first Hilbert coefficients of parameters and the homological torsions of $M$." @default.
- W2951548988 created "2019-06-27" @default.
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- W2951548988 date "2014-04-09" @default.
- W2951548988 modified "2023-10-18" @default.
- W2951548988 title "The first Euler characteristics versus the homological degrees" @default.
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- W2951548988 doi "https://doi.org/10.48550/arxiv.1404.2455" @default.
- W2951548988 hasPublicationYear "2014" @default.
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