Gluing simple-minded collections in triangulated categories

被引：0
|
作者：
Sun, Yongliang [1 ]
Zhang, Yaohua [2 ]
机构：
[1] Yancheng Inst Technol, Sch Math & Phys, Yancheng 224003, Jiangsu, Peoples R China
[2] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2024年 / 645卷
关键词：
Simple-minded collection; t-structure; Recollement; Mutation; T-STRUCTURES; OBJECTS; RECOLLEMENTS;
D O I：
10.1016/j.jalgebra.2024.01.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a technique to glue simple-minded collections along a recollement of Hom-finite Krull-Schmidt triangulated categories over a field. This gluing technique for simpleminded collections is shown to be compatible with those for gluing bounded t-structures, silting objects, and co-tstructures in the literature. Furthermore, it also enjoys the properties of preserving partial order and commuting with the operation of mutation. (c) 2024 Elsevier Inc. All rights reserved.
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页码：54 / 85
页数：32
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