ENVELOPES AND COVERS BY MODULES OF FINITE FP-INJECTIVE DIMENSIONS

被引：2

作者：

Zeng, Yuedi ^{[1
]}

Chen, Jianlong ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Coherent ring; FP-injective dimension; (Pre)Cover; (Pre)Envelope; Syzygy; FLAT COVERS;

D O I：

10.1080/00927870903200851

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring, n a fixed non-negative integer and F the class of all left R-modules of FP-injective dimensions at most n. It is proved that all left R-modules over a left coherent ring R have F-preenvelopes and F-covers. Left (right) F-resolutions and the left derived functors of Hom are used to study the FP-injective dimensions of modules and rings.

引用

页码：3851 / 3867

页数：17

共 14 条

[1] Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications [J].