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The First Hilbert Coefficient of Stretched Ideals
- Source :
- Acta Mathematica Vietnamica. 47:251-267
- Publication Year :
- 2022
- Publisher :
- Springer Science and Business Media LLC, 2022.
-
Abstract
- In this paper we explore the almost Cohen-Macaulayness of the associated graded ring of stretched $\mathfrak{m}$-primary ideals with small first Hilbert coefficient in a Cohen-Macaulay local ring $(A,\mathfrak{m})$. In particular, we explore the structure of stretched $\mathfrak{m}$-primary ideals satisfying the equality $\mathrm{e}_1(I)=\mathrm{e}_0(I)-\ell_A(A/I)+4$ where $\mathrm{e}_0(I)$ and $\mathrm{e}_1(I)$ denote the multiplicity and the first Hilbert coefficient respectively.<br />17 pages. arXiv admin note: substantial text overlap with arXiv:2109.12918
Details
- ISSN :
- 23154144 and 02514184
- Volume :
- 47
- Database :
- OpenAIRE
- Journal :
- Acta Mathematica Vietnamica
- Accession number :
- edsair.doi.dedup.....5ef08161b55bb2923ab20fd4efda65a7