Dimension of finite free complexes over commutative Noetherian rings

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Commutative Algebra Pub Date : 2020-09-09 DOI:10.1090/conm/773/15529

Lars Christensen, S. Iyengar

引用次数: 1

Abstract

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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交换noether环上有限自由复形的维数

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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来源期刊

Journal of Commutative Algebra MATHEMATICS-

CiteScore

0.80

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Commutative Algebra publishes significant results in the area of commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation theory, semigroups and monoids. The journal also publishes substantial expository/survey papers as well as conference proceedings. Any person interested in editing such a proceeding should contact one of the managing editors.