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.
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页码：1907 / 1913
页数：7
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