The Gorenstein-projective modules over a monomial algebra

被引：24

作者：

Chen, Xiao-Wu ^{[1
]}

Shen, Dawei ^{[2
,3
]}

Zhou, Guodong ^{[2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[2] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

[3] Henan Univ, Sch Math & Stat, Kaifeng 475004, Henan, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2018年 / 148卷 / 06期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

monomial algebra; Gorenstein-projective module; perfect path; quadratic monomial algebra; Nakayama algebra; RADICAL SQUARE ZERO; GENTLE ALGEBRAS; CATEGORIES; DIMENSION;

D O I：

10.1017/S0308210518000185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of a perfect path for a monomial algebra. We classify indecomposable non-projective Gorenstein-projective modules over the given monomial algebra via perfect paths. We apply the classification to a quadratic monomial algebra and describe explicitly the stable category of its Gorenstein-projective modules.

引用

页码：1115 / 1134

页数：20