关于Ding投射范畴的稳定性

On Stability of Ding Projective Categories

首先,证明了以Ding投射模为对象,利用定义Ding投射模的方法构造出的模仍然是Ding投射模.其次,引进了Ding投射复形并利用Ding投射模刻画了此类复形.同时,利用复形的Ding投射维数刻画了n-FC环.最后,证明了Ding投射复形范畴也具有类似Ding投射模范畴的稳定性.

We show that an iteration of the procedure used to define Ding projective modules yields exactly Ding projective modules. Then we introduce Ding projective complexes,and characterize those complexes by Ding projective modules. Moreover,we characterize n-FC rings with Ding projective dimension of complexes. Finally,we prove that the category of Ding projective complexes also has some kind of stability.