【摘要】 在本文中,我们从研究投射等价模的有限表现维数的关系入手,给出了有限表现维数的维数转移定理(定理2.5),并且运用有限表现维数刻划了凝聚环(定理2.4)。最后我们得到了在经典局部化下,环与模的有限表现维数的不变性定理(定理2.6,定理2.8)。更多还原

【Abstract】 In this paper,We start to study the relations of the finitely presenteddimensions of projective equivalent modules(Pro 2.3)and give a shifting the-orem(Th2.5),We also characterize the coherent ring with the finitely pres-ented dimension(Th 2.4).Finally,the invariant theorems of the finitely pres-ented dimensions of rings and modules under localizations are given,(Th2.6,Th2.8).更多还原