Finitely Silting Comodules in Quasi-Finite Comodule Category

被引：0

作者：

Yuan, Qianqian ^{[1
]}

Yao, Hailou ^{[1
]}

机构：

[1] Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2023年 / 73卷 / 03期

基金：

美国国家科学基金会;

关键词：

quasi-finite silting comodule; finitely silting comodule; finitely tilting comodule; torsion pair; duality; COALGEBRAS;

D O I：

10.21136/CMJ.2023.0173-22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notions of silting comodules and finitely silting comodules in quasi-finite category, and study some properties of them. We investigate the torsion pair and dualities which are related to finitely silting comodules, and give the equivalences among silting comodules, finitely silting comodules, tilting comodules and finitely tilting comodules.

引用

页码：695 / 714

页数：20