Gluing silting objects via cotorsion pairs

被引：0

作者：

Zhang, Zhen ^{[1
]}

Wang, Shance ^{[1
]}

机构：

[1] Qilu Normal Univ, Dept Math, Jinan 250200, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Cotorsion pairs; extriangulated category; recollement; silting object; tilting object; RECOLLEMENTS;

D O I：

10.1080/00927872.2024.2426738

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we get a glued silting object from the two end terms of a recollement of extriangulated categories, which recovers several different results from the literature. In the proof method, we use the correspondence between hereditary cotorsion pairs and silting objects. Moreover, this procedure is compatible with gluing hereditary cotorsion pairs. As an application, we get a glued tilting object in a recollement of extriangulated categories.

引用

页码：1942 / 1954

页数：13

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