A Characterization of n-Gorenstein Tilting Comodules

被引：0

作者：

Li, Yexuan ^{[1
]}

Yao, Hailou ^{[1
]}

机构：

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

来源：

APPLIED CATEGORICAL STRUCTURES | 2022年 / 30卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Comodule; Gorenstein coalgebra; Gorenstein injective comodule; Gorenstein tilting comodule; REPRESENTATION-THEORY; RELATIVE HOMOLOGY; MODULES;

D O I：

10.1007/s10485-022-09688-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to introduce the concept of n-Gorenstein tilting comodules and study its main properties. This concept generalizes the notion of n-tilting comodules of finite injective dimensions to the case of finite Gorenstein injective dimensions. As an application of our results, we discuss the problem of existence of complements to partial n-Gorenstein tilting comodules.

引用

页码：1135 / 1152

页数：18

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