The Gorenstein-projective modules over a monomial algebra

被引：25
|
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：
中国国家自然科学基金; 中国博士后科学基金;
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.
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页码：1115 / 1134
页数：20
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