Chinese translation for "同调维数"
|
- homological dimension
Related Translations:
同调: persons with the same inclination or view 同调性质: homological properties 连续同调: continuous homology 同调映射: homological mapping
- Example Sentences:
| 1. | The homlogical dimensions of the residue rings of power series rings 幂级数剩余类环的同调维数 | | 2. | 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。 | | 3. | 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。 | | 4. | 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 | | 5. | Based on theorem 3 . 3 , we will prove that a [ d ] is an iterated ore extension . as consequences , we give the noetherian - ness of the algebra a [ d ] and the bounds on the global dimension 在此基础上,我们证明了a [ d ]是一个多重ore扩张,作为推论,给出了a [ d ]的诺特性和整体同调维数的估计。 | | 6. | 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。 | | 7. | In the second chapter , we attain this goal by another route . collecting all short exact sequence and the morphisms among them , we get a new category , call the short exact sequences category crm . we define a global dimension attached to the original ring r from the view of the short exact sequences category cr . m , named the exact projective dimension 在第二章中我们将通过另一种方法,也就是考察所有的短正合列以及短正合列之间的态射,我们得到一个新的范畴,通过对这个范畴(我们称之为短正合列范畴c _ rm )的一些基本性质的考察,我们定义出与环r相关的同调维数,我们称它为正合投射维数。 | | 8. | In theorem 3 of this chapter , we prove that homological properities and homological dimensions of residue ring play very important roles . the homological properities and homological dimension of coordinate ring have been studied in the thesis of doctor yang jing - hua . in the second chapter , we generalize the results of coordinate ring to power se - ries residue ring 杨静化在其博士论文中对坐标环进行了同调刻画。我们在杨静化的博士论文基础上,把坐标环的同调性质和同调维数的相关结论推广到了幂级数剩余类环上。 |
- Similar Words:
- "同调球" Chinese translation, "同调群" Chinese translation, "同调松度" Chinese translation, "同调特征标" Chinese translation, "同调维度" Chinese translation, "同调线" Chinese translation, "同调线偶" Chinese translation, "同调项" Chinese translation, "同调性" Chinese translation, "同调性质" Chinese translation
|
|
|