PURE-INJECTIVE ENVELOPES

被引：32

作者：

Herzog, Ivo ^{[1
]}

机构：

[1] Ohio State Univ, Lima, OH 45804 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2003年 / 2卷 / 04期

关键词：

Pure-injective envelope; locally finitely presented additive category; cotorsion envelope; flat cover;

D O I：

10.1142/S0219498803000581

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that if C is a locally finitely presented additive category, then every object X of C admits a pure-injective envelope. Considered as a morphism, the pure-injective envelope is a pure-monomorphism.

引用

页码：397 / 402

页数：6

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