∞-Tilting Subcategories in Extriangulated Categories

被引：0
|
作者：
Zhang, Zhen [1 ]
Wei, Jiaqun [2 ]
Wang, Shance [1 ]
机构：
[1] Qilu Normal Univ, Dept Math, Jinan 250200, Peoples R China
[2] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2024年 / 45卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Extriangulated category; infinity-Tilting subcategory; Auslander-Reiten correspondence; Bazzoni characterization;
D O I：
10.1007/s11401-024-0008-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors introduce a new definition of infinity-tilting (resp. cotilting) subcategories with infinite projective dimensions (resp. injective dimensions) in anextriangulated category. They give a Bazzoni characterization of infinity-tilting (resp. cotilting)subcategories. Also, they obtain a partial Auslander-Reiten correspondence between infinity-tilting (resp. cotilting) subcategories and coresolving (resp. resolving) subcategories with an E-projective generator (resp.E-injective cogenerator) in an extriangulated category.
引用
收藏
页码：151 / 160
页数：10
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