COFINITELY INJECTIVE AND PROJECTIVE MODULES

被引：0

作者：

Nebiyev, C. ^{[1
]}

Pancar, A. ^{[2
]}

机构：

[1] Ondokuz Mayis Univ, Fac Educ, Branch Math, TR-55200 Atakum, Samsun, Turkey

[2] Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, TR-55139 Kurupelit, Samsun, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2010年 / 39卷 / 02期

关键词：

Exact sequences; Homomorphisms; Injective modules; Projective modules;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, cofinitely injective and cofinitely projective modules are defined. Some properties of cofinitely injective and cofinitely projective modules are investigated. Let N be an R-module. Then every R-module is cofinitely N-injective if and only if every cofinite submodule of N is a direct summand. This is also true for cofinitely projective modules. Let M be a nonzero R-module. If every cofinitely M-projective (M-injective) module is M-projective (M-injective) then Rad M not equal M.

引用

页码：171 / 182

页数：12

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