The First Hilbert Coefficient of Stretched Ideals
نویسندگان
چکیده
In this paper, we explore the almost Cohen-Macaulayness of associated graded ring stretched ${\mathfrak m}$ -primary ideals with small first Hilbert coefficient in a Cohen-Macaulay local $(A,{\mathfrak m})$ . particular, structure satisfying equality e1(I) = e0(I) − ℓA(A/I) + 4, where and denote multiplicity coefficient, respectively.
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ژورنال
عنوان ژورنال: Acta mathematica Vietnamica
سال: 2022
ISSN: ['0251-4184', '2315-4144']
DOI: https://doi.org/10.1007/s40306-021-00470-x