Gorenstein环上的Gorenstein投射模  

Gorenstein projective modules on Gorenstein rings

作　　者：宋杨[1] 杜先能[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2010年第3期24-27,共4页Journal of Anhui University(Natural Science Edition)

基　　金：安徽大学博士点基金资助项目(200803570003)

摘　　要：Du Xianneng和Chen Zhengxin用Gorenstein内射模刻画了Gorenstein环.作者根据Gorenstein投射模来刻画Gorenstein环,利用推出图,得到了定理3.由该文可以看出n-Gorenstein环与Gorenstein投射模的对应关系.在此基础上,又得到了定理4中的两个结论的等价性,在一定意义上拓展了Gorenstein投射模的有关结论.According to Gorenstein injective module,Du Xianneng and Chen Zhengxin characterized Gorenstein ring.Using Gorenstein projective module,we characterized Gorenstein ring in this paper,and got the main theorem 3 by the push-out diagrams,which showed a clear relationship between the n-Gorenstein ring and Gorenstein projective module.On the above basis,we obtained the theorem 4,which described the equivalence between these two conclusions.In a certain sense,we extended the corresponding conclusion of Gorenstein projecitive module.

关 键 词：Gorenstein环 GORENSTEIN投射模 投射分解 投射预解式 

分 类 号：O152.3[理学—数学]