三角矩阵余代数上的有限Gorenstein余表现余模  

Finitely Gorenstein copresented comodules over triangular matrix coalgebras

作　　者：郭春娜 姚海楼[1] GUO Chun-na;YAO Hai-lou(Department of Science,College of Mathematics,Bejing University of Technology,Bejing 100124,China)

机构地区：[1]北京工业大学理学部数学学院,北京100124

出　　处：《山东大学学报（理学版）》2023年第2期88-92,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12071120)。

摘　　要：利用范畴的等价定理和范畴之间的正合函子,给出了三角矩阵余代数■上的有限Gorenstein余表现余模的具体形式,并且得到三角矩阵余代数Γ与余代数T及U之间的有限Gorenstein余表现维数的关系Max{G.cp.dimT,G.cp.dimU}≤G.cp.dimΓ≤G.cp.dimT+G.cp.dimU+1。The specific form of the finitely Gorenstein copresented comodule over a triangular matrix coalgebra ■ is given by the equivalence theorem of categories and the exact functors between categories, and a relationship between the finitely Gorenstein copresented dimensions of the triangular matrix coalgebra Γ and coalgebras T and U is obtained as follows Max{G.cp.dimT,G.cp.dimU}≤G.cp.dimΓ≤G.cp.diimT+G.cp.dimU+1.

关 键 词：三角矩阵余代数 有限Gorenstein余表现余模 有限Gorenstein余表现维数 

分 类 号：O153.3[理学—数学]