DC-projective dimensions, Foxby equivalence and SDC-projective modules

被引：1

作者：

Zhao, Liang ^{[1
]}

Zhou, Yiqiang ^{[2
]}

机构：

[1] Anhui Univ Technol, Sch Math & Phys, Maanshan 243032, Peoples R China

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D-C-projective modules; excellent extensions; semidualizing modules; Foxby equivalence; SDC-projective modules; GORENSTEIN FLAT MODULES; HOMOLOGICAL DIMENSIONS; SEMIDUALIZING MODULE; RINGS; RESPECT;

D O I：

10.1142/S0219498816501115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a study of Ding projective modules relative to a semidualizing module and related topics. Firstly, we study D-C-projective dimensions and D-C-projective modules under change of rings. Secondly, we establish a new version of the Foxby equivalence with respect to D-C-projective modules and D-C-injective modules. Thirdly, we characterize Ding projective modules in A(C)(R) and Ding injective modules in B-C(R). At last, as applications, some new characterizations of perfect rings and quasi-Frobenius rings are given.

引用

页数：23

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