In section § 2, we studied small finite present graded projective dimension gr. 在§2中,定义了分次环R的小有限分次投射维数gr.fp。
If M is a finitely generated module over a regular local ring R. It is well known that the sum of projective dimension and the codimension of M is equal to the global dimension of R. 如果M是正则局部环R上一个有限生成的模,则M的投射维数与余维数的和等于R的整体维数。
Result on the derived couples is obtained, then with the limit of spectral sequences the projective dimension of a finitely presented module over a commutative coherent ring ( or commutative coherent quasi-local ring ) is characterized. 给出一般情形下关于导出偶的一个结果,然后用谱序列的极限项刻划了可换凝聚环(或可换凝聚局部环)上有限表现模的投射维数。
The approach adopted here is largely homological, based upon the cell module filtration of projective modules and the dimension shifting of some exact sequences involving cell modules. 我们的研究主要采用同调的方法,许多论证用到胞腔代数上投射模所具有的滤过性质和一些涉及胞腔模的正合列的维数转移。
Structure of the Minimal Dimensional Exceptional Locus of Small Contraction over Projective Varieties of Odd Dimension 奇维数射影代数簇的小收缩态射的极小维例外集的结构