无界dg模块的深度和宽度

Pub Date : 2022-03-20 DOI:10.1142/s1005386723000068

Y. Rao, Zhongkui Liu, Xiaoyan Yang, Wenjing Chen

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引用次数: 0

摘要

本文引入了无界dg模的理想深度的概念，给出了该深度的约简公式和局部性质。作为应用，我们给出了一些特殊情况下的深度界限，并恢复和推广了已知的关于复合体深度的结果。此外，研究了无界dg模的相对理想宽度，推广了dg模的深度和宽度公式。

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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Depth and Width for Unbounded DG-Modules

This paper introduces the notion of depth with respect to ideals for unbounded DG-modules, and gives a reduction formula and the local nature of this depth. As applications, we provide several bounds of the depth in special cases, and recover and generalize the known results about the depth of complexes. In addition, the width with respect to ideals for unbounded DG-modules is investigated and the depth and width formulas for DG-modules are generalized.

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