函子有限子范畴在余模范畴中的应用  

An Application of Functorially Finite Subcategories to Comodule Categories

作　　者：付雪荣 FU Xuerong(College of Mathematics and Statistics,Heze University,Heze,Shandong,274015,P.R.China)

机构地区：[1]菏泽学院数学与统计学院,菏泽山东274015

出　　处：《数学进展》2022年第4期679-686,共8页Advances in Mathematics（China）

基　　金：山东省自然科学基金(No.ZR2020QA002)。

摘　　要：设Γ=(C0UD)为三角矩阵余代数.借助余伴随同构,本文研究了Γ的拟有限余模范畴与其关联子余代数C,D的拟有限余模范畴之间的函子有限性关系,得到了Γ关于函子有限子范畴的分解维数的上下界.LetΓ=(C0UD)be a triangular matrix coalgebra.By using the adjunction isomorphism in comodule categories,we investigate the connection of functorially finiteness between the category of quasi-finite comodules overΓand the categories of quasi-finite comodules over its constituent subcoalgebras C,D,then obtain the upper and lower bounds of the resolution dimensions with respect to functorially finite subcategories overΓ.

关 键 词：三角矩阵余代数 余模表示范畴 函子有限子范畴 分解维数 

分 类 号：O154.2[理学—数学]