FACTORIZATIONS, INJECTIVITY AND COMPACTNESS IN CATEGORIES OF MODULES

被引：21

作者：

DIKRANJAN, D ^{[1
]}

GIULI, E ^{[1
]}

机构：

[1] UNIV STUDI AQUILA,DIPARTIMENTO MATEMAT PURA & APPLICATA,I-67100 I AQUILA,ITALY

来源：

COMMUNICATIONS IN ALGEBRA | 1991年 / 19卷 / 01期

关键词：

D O I：

10.1080/00927879108824129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A notion of closure operator for modules is used to characterize factorization structures in categories of modules. Moreover compactness, injectivity and absolute closedness are studied with respect to such closure operators. A criterion for compactness of modules is obtained in terms of injectivity or absolute closedness of the quotients extending recent results of Temple Fay.

引用

页码：45 / 83

页数：39

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