STRONGLY COPURE PROJECTIVE, INJECTIVE AND FLAT COMPLEXES

被引：0

作者：

Ma, Xin ^{[1
,2
]}

Liu, Zhongkui ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Gansu Agr Univ, Coll Sci, Lanzhou 730070, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2016年 / 46卷 / 06期

关键词：

Strongly copure projective complex; strongly copure injective complex; strongly copure flat complex; DIMENSIONS; MODULES;

D O I：

10.1216/RMJ-2016-46-6-2017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend the notions of strongly copure projective, injective and flat modules to that of complexes and characterize these complexes. We show that the strongly copure projective precover of any finitely presented complex exists over n-FC rings, and a strongly copure injective envelope exists over left Noetherian rings. We prove that strongly copure flat covers exist over arbitrary rings and that (SCF,SCF perpendicular to) is a perfect hereditary cotorsion theory where SCF is the class of strongly copure flat complexes.

引用

页码：2017 / 2042

页数：26

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