论文摘要
Let A be an abelian category and P（A）be the subcategory of A consisting of projective objects.Let C be a full,additive and self-orthogonal subcategory of A with P（A）a generator,and let G（C）be the Gorenstein subcategory of A.Then the right 1-orthogonal category G（C）⊥1 of G（C）is both projectively resolving and injectively coresolving in A.We also get that the subcategory SPC（G（C））of A consisting of objects admitting special G（C）-precovers is closed under extensions and C-stable direct summands（*）.Furthermore,if C is a generator for G（C）⊥1,then we have that SPC（G（C））is the minimal subcategory of A containing G（C）⊥1∪G（C）with respect to the property（*）,and that SPC（G（C））is C-resolving in A with a C-proper generator C.
论文目录
文章来源
类型: 期刊论文
作者: Tiwei Zhao,Zhaoyong Huang
来源: Science China(Mathematics) 2019年08期
年度: 2019
分类: 基础科学
专业: 数学
单位: Department of Mathematics,Nanjing University
基金: supported by National Natural Science Foundation of China (Grant No. 11571164),Priority Academic Program Development of Jiangsu Higher Education Institutions,the University Postgraduate Research and Innovation Project of Jiangsu Province 2016 (Grant No. KYZZ16 0034),Nanjing University Innovation and Creative Program for PhD Candidate (Grant No. 2016011)
分类号: O154.1
页码: 1553-1566
总页数: 14
文件大小: 264K
下载量: 7
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