THE GHOST DIMENSION OF A RING

被引：10

作者：

Hovey, Mark ^{[1
]}

Lockridge, Keir ^{[2
]}

机构：

[1] Wesleyan Univ, Dept Math, Middletown, CT 06459 USA

[2] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 06期

关键词：

D O I：

10.1090/S0002-9939-09-09672-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the concept of the ghost dimension gh.dim. R of a ring R. This is the longest nontrivial chain of maps in the derived category emanating from a perfect complex such that each map is zero on homology. We show that w.dim. R <= gh.dim. R with equality if R is coherent or w.dim. R = 1.

引用

页码：1907 / 1913

页数：7

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