Krull dimension for differential graded algebras

被引：0

作者：

Kristen A. Beck

Sean Sather-Wagstaff

机构：

[1] The University of Arizona,Department of Mathematics

[2] NDSU Dept # 2750,Department of Mathematics

来源：

Archiv der Mathematik | 2013年 / 101卷

关键词：

DG algebras; DG modules; Krull dimension; Systems of parameters; Primary 13C15; 13D02; Secondary 13B30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a naive notion of a system of parameters for a homologically finite complex over a commutative noetherian local ring and compare it to the system of parameters defined by Christensen. We show that these notions differ in general but that they agree when the complex in question is a DG R-algebra. In this case we also show that the Krull dimension defined in terms of the lengths of such systems of parameters agrees with Krull dimensions defined in terms of certain chains of prime ideals.

引用

页码：111 / 119

页数：8