Strong global dimension of commutative rings and schemes

被引：2

作者：

Buchweitz, Ragnar-Olaf ^{[1
]}

Flenner, Hubert ^{[2
]}

机构：

[1] Univ Toronto Scarborough, Dept Comp & Math Sci, Toronto, ON M1C 1A4, Canada

[2] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany

来源：

JOURNAL OF ALGEBRA | 2015年 / 422卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Strong global dimension; Perfect complex; PIECEWISE HEREDITARY ALGEBRAS; SURFACES;

D O I：

10.1016/j.jalgebra.2014.08.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The strong global dimension of a ring is the supremum of the length of perfect complexes that are indecomposable in the derived category. In this note we characterize the noetherian commutative rings that have finite strong global dimension. We also give a similar characterization for separated noetherian schemes. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：741 / 751

页数：11

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