|
|
| |
| ∞-Tilting Subcategories in Extriangulated Categories |
| |
Citation： |
Zhen ZHANG,Jiaqun WEI,Shance WANG.∞-Tilting Subcategories in Extriangulated Categories[J].Chinese Annals of Mathematics B,2024,45(1):151~160 |
| Page view： 361
Net amount： 353 |
Authors： |
Zhen ZHANG; Jiaqun WEI;Shance WANG |
Foundation： |
This work was supported by the National Natural Science Foundation of China (Nos. 12101344,
11371196) and the Shan Dong Provincial Natural Science Foundation of China (No. ZR2015PA001). |
|
|
| Abstract： |
In this paper, the authors introduce a new definition of ∞-tilting (resp. cotilting) subcategories with infinite projective dimensions (resp. injective dimensions) in an
extriangulated category. They give a Bazzoni characterization of ∞-tilting (resp. cotilting)
subcategories. Also, they obtain a partial Auslander-Reiten correspondence between ∞-
tilting (resp. cotilting) subcategories and coresolving (resp. resolving) subcategories with
an E-projective generator (resp. E-injective cogenerator) in an extriangulated category. |
Keywords： |
Extriangulated category, ∞-Tilting subcategory, Auslander-Reiten correspondence, Bazzoni characterization |
Classification： |
18E30, 16D90, 16G10 |
|
|
Download PDF Full-Text
|
|
|
|
