Morita环上的强Gorenstein投射模  

Strongly Gorenstein-projective modules over Morita rings

作　　者：Dadi ASEFA Dadi ASEFA(School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China)

机构地区：[1]上海交通大学数学科学学院,上海200240

出　　处：《安徽大学学报（自然科学版）》2020年第3期30-37,共8页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11431010)。

摘　　要：H.Bass在其专著中引入了Morita环的概念,这类环包含了许多重要的代数的例子.考虑具有零双模同态的Morita环,找出相应的充要条件,从而确定出所有强完全投射分解以及所有具有零双模同态的Mortia环上的Gorenstein投射模.特别地,该结论可应用于上三角矩阵代数的情形.Morita rings have been introduced by H.Bass in his famous monograph note.This class of rings contains a lot of good examples of algebras.In this paper,we considered Morita ring with zero bimodule homomorphisms.We determined all the strongly complete projective resolutions,and all the strongly Gorenstein projective modules,over Morita ring with zero bimodule homomorphisms,by finding out the corresponding sufficient and necessary conditions.In particular,our results can be applied to the upper triangle matrix algebras.

关 键 词：强Gorenstein投射模 Morita环 强完全投射分解 GORENSTEIN投射模 上三角矩阵代数 

分 类 号：O154.2[理学—数学]