Closure under transfinite extensions

被引：24

作者：

Enochs, Edgar E. ^{[1
]}

Iacob, Alina ^{[2
]}

Jenda, Overtoun M. G. ^{[3
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

[2] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA

[3] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2007年 / 51卷 / 02期

关键词：

D O I：

10.1215/ijm/1258138429

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The closure under extensions of a class of objects in an abelian category is often an important property of that class. Recently the closure of such classes under transfinite extensions (both direct and inverse) has begun to play an important role in several areas of mathematics, for example, in Quillen's theory of model categories and in the theory of cotorsion pairs. In this paper we prove that several important classes are closed under transfinite extensions.

引用

页码：561 / 569

页数：9

共 7 条

[1]

Auslander M., 1955, NAGOYA MATH J, V9, P67, DOI [10.1017/S0027763000023291, DOI 10.1017/S0027763000023291]

[2] HOMOLOGICAL DIMENSIONS OF UNBOUNDED COMPLEXES [J].