典型文献
Gorenstein Hereditary Coalgebras
文献摘要：
Let C be a coalgebra.We prove that a right C-comodule is an n-cosyzygy if and only if it is a Gorenstein n-cosyzygy.We study the Gorenstein global dimension of coalgebras and the class of Gorenstein hereditary coalgebras.As a generalization of Gorenstein hereditary coalgebras,we introduce the concept of Gorenstein semihered-itary coalgebras and show that a coalgebra C is Gorenstein semihereditary if and only if every finitely cogenerated factor of any injective comodule is Gorenstein injective.
文献关键词：
中图分类号：
作者姓名：
Yexuan Li;Hailou Yao
作者机构：
College of Mathematics,Faculty of Science,Beijing University of Technology,Beijing 100124,China
文献出处：
引用格式：
[1]Yexuan Li;Hailou Yao-.Gorenstein Hereditary Coalgebras)[J].数学研究（英文）,2022(02):216-228
A类：
Coalgebras,coalgebra,comodule,cosyzygy,semihered,semihereditary,cogenerated
B类：
Gorenstein,Hereditary,Let,be,We,prove,that,right,is,if,only,study,global,dimension,coalgebras,class,generalization,we,introduce,concept,show,every,finitely,any,injective
AB值：
0.320851
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