d 序列的非混合扭转和希尔伯特系数

Pub Date : 2024-10-21 DOI:10.1016/j.jalgebra.2024.10.014

Pham Hong Nam

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引用次数: 0

摘要

在本文中，我们定义了与特定同调度相关的非混合扭转。我们在模块的希尔伯特系数和非混合扭转之间建立了一种联系，这种联系是相对于由 d 序列生成的参数理想而言的。作为应用，我们通过模块的深度来描述希尔伯特系数的消失。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Unmixed torsions and Hilbert coefficients of d-sequences

In this paper, we define an unmixed torsion associated with a certain cohomological degree. We establish a connection between the Hilbert coefficients and the unmixed torsions of the module with respect to a parameter ideal generated by a d-sequence. As an application, we characterize the vanishing of the Hilbert coefficients through the depth of the module.

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