Gorenstein Flat 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：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Comodule; Gorenstein flat comodule; Gorenstein projective comodule; Colocalization; LOCALIZATION; COALGEBRAS;
D O I：
10.1007/s41980-021-00601-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of Gorenstein flat comodules and give a description of colocalization of Gorenstein flat comodules. A right C-comodule M is called a Gorenstein flat comodule if there exists an exact sequence ... -> F-1 -> F-0 -> F-0 -> F-1 -> center dot center dot center dot of flat comodules with M similar or equal to Ker(F-0 -> F-1) and such that Com(C)(-, I) leaves the sequence exact whenever I is a finite-dimensional right C-comodule and id(C)( I) < infinity. Some properties of Gorenstein flat comodules are studied.
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页码：2539 / 2553
页数：15
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