Resolving Subcategories of Triangulated Categories and Relative Homological Dimension
Resolving Subcategories of Triangulated Categories and Relative Homological Dimension作者机构:Department of MathematicsNanjing UniversityNanjing 210093P.R.China
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2017年第33卷第11期
页 面:1513-1535页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:Supported by the National Natural Science Foundation of China(Grant No.11571164) a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions,Postgraduate Research and Practice Innovation Program of Jiangsu Province(Grant No.KYZZ16 0034) Nanjing University Innovation and Creative Program for PhD candidate(Grant No.2016011)
主 题:(Pre)resolving subcategories triangulated categories relative homological dimension,Gorenstein categories
摘 要:We introduce and study (pre)resolving subcategories of a triangulated category and the homological dimension relative to these subcategories. We apply the obtained properties to relative Gorenstein categories.