交换noether环上有限自由复形的维数

Pub Date : 2020-09-09 DOI:10.1090/conm/773/15529

Lars Christensen, S. Iyengar

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引用次数: 1

摘要

Foxby用其同调模的维数定义了交换诺瑟环上的模复的(Krull)维数。本文证明了有限秩自由模的有界复合体的维数可以由表示该复合体的微分的矩阵直接计算出来。

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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Dimension of finite free complexes over commutative Noetherian rings

Foxby defined the (Krull) dimension of a complex of modules over a commutative Noetherian ring in terms of the dimension of its homology modules. In this note it is proved that the dimension of a bounded complex of free modules of finite rank can be computed directly from the matrices representing the differentials of the complex.

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