On the Gorenstein projective conjecture: IG-projective modules

被引：3

作者：

Luo, Rong ^{[1
]}

Jian, Dongmei ^{[2
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

[2] Sichuan Normal Univ, Sch Math & Software Sci, Chengdu 610066, Peoples R China

来源：

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

基金：

中国国家自然科学基金;

关键词：

Projective modules; Gorenstein projective modules; IG-projective modules; commutative Noetherian local rings; DIMENSION;

D O I：

10.1142/S0219498816501176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a commutative Noetherian local ring. A finitely generated Gorenstein projective R-module M is called IG-projective if there exists either an irreducible epimorphism P -> M or irreducible monomorphism M -> P with P being a projective R-module. In this paper, we give a note on Gorenstein Projective Conjecture: a finitely generated IG-projective module is projective if and only if it is self-orthogonal.

引用

页数：11

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