The derived and extension dimensions of abelian categories

被引：4
|
作者：
Zheng, Junling [1 ]
Huang, Zhaoyong [2 ]
机构：
[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2022年 / 606卷
关键词：
Derived dimension; Extension dimension; Abelian categories; Radical layer length; Finite type; (Co)resolving subcategories; Relative projective dimension; Relative injective dimension; REPRESENTATION; GENERATORS; ALGEBRAS;
D O I：
10.1016/j.jalgebra.2022.05.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an abelian category A, we establish the relation between its derived and extension dimensions. Then for an artin algebra Lambda, we give the upper bounds of the extension dimension of Lambda in terms of the radical layer length of Lambda and certain relative projective (or injective) dimension of some simple Lambda-modules, from which some new upper bounds of the derived dimension of Lambda are induced.(c) 2022 Elsevier Inc. All rights reserved.
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页码：243 / 265
页数：23
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