⊥N as an abstract elementary class

被引：19

作者：

Baldwin, John T. ^{[1
]}

Eklof, Paul C. ^{[2
]}

Trlifaj, Jan ^{[3
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60680 USA

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92717 USA

[3] Charles Univ Prague, Katedra Algebry MFF, Prague, Czech Republic

来源：

ANNALS OF PURE AND APPLIED LOGIC | 2007年 / 149卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

abstract elementary class; N-perpendicular to; cotorsion pairs model; theory of modules;

D O I：

10.1016/j.apal.2007.06.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study abstract elementary classes of modules. We give several characterizations of when the class of modules A with Ext(i)(A, N) = 0 (for fixed N and all i) is abstract elementary class with respect to the notion that M-1 is a strong submodel M-2 if the quotient remains in the given class. (c) 2007 Published by Elsevier B.V.

引用

页码：25 / 39

页数：15

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