# homological dimension中文

• homological:    adj. ＝ homologous. homologic ...
• dimension:    n. 1.尺寸。 2.【數學】次元，度(數)，維(數)。 ...

## 例句與用法

1. In this thesis , we mainly investigated gpp - ring and several special modules and their homological dimensions
本學位論文主要討論gpp -環和幾類特殊模及其同調維數。
2. Given a ring or module , one can define various homological dimensions by resolving the modules
給定一個環或模，人們通過環和模的多種不同分解式，可以定義不同的同調維數。
3. 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調維數，并得到相應的結果，從而一些已知的結論可作為我們的推論
4. 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
對于給定的結合環，人們往往通過對其上的一些模的某一種同調維數取上確界而得到環的相應的整體維數，進而從外部刻畫出環的特征。
5. 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
在這一章的最后，我們研究了環r的整體維數與正合投射維數的關系，得到了這兩類維數是相等的，從而給出了整體維數得一類特征刻畫。