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关于极大分次理想幂的Hilbert深度的注记

交换代数 2024-02-19 v2 组合数学

作者: Silviu Balanescu , Mircea Cimpoeas

在 arXiv 上查看 ↗ PDF ↗

摘要

设 $\mathbf m=(x_1,\ldots,x_n)$ 为 $S:=K[x_1,\ldots,x_n]$ 的极大分次理想。我们提出一种计算 $\mathbf m$ 的幂的Hilbert深度的新方法。

关键词

Hilbert深度极大分次理想多项式环理想的幂 Hilbert级数

引用

@article{arxiv.2311.11079,
  title  = {Remarks on the Hilbert depth of powers of the maximal graded ideal},
  author = {Silviu Balanescu and Mircea Cimpoeas},
  journal= {arXiv preprint arXiv:2311.11079},
  year   = {2024}
}

备注

11 pages; we realized that the main result was known in literature, thus we had to revise this manuscript accordingly