homological dimension meaning in English
同惮数
同调维数
Examples
- In this thesis , we mainly investigated gpp - ring and several special modules and their homological dimensions
本学位论文主要讨论gpp -环和几类特殊模及其同调维数。 - Given a ring or module , one can define various homological dimensions by resolving the modules
给定一个环或模，人们通过环和模的多种不同分解式，可以定义不同的同调维数。 - In this paper , we investigate the homological dimensions of some special modules . we improve 6 , theorem and 7 , theorem 2 , 3 . as corollaries , we obtain the main results of 4 , 2 and 5
考察了一些特殊模的同调维数，并得到相应的结果，从而一些已知的结论可作为我们的推论 - Given a ring , one always takes the supremum of some homological dimension of specified modules to obtain the corresponding global dimension , and to characterize the ring from outside
对于给定的结合环，人们往往通过对其上的一些模的某一种同调维数取上确界而得到环的相应的整体维数，进而从外部刻画出环的特征。 - At the end of this chapter , we get some results about the dimension and its relationship with global dimension of a ring r . in the third chapter , the homological dimensions about ring r m have be discussed
在这一章的最后，我们研究了环r的整体维数与正合投射维数的关系，得到了这两类维数是相等的，从而给出了整体维数得一类特征刻画。