Chinese translation for "homological dimension"

同惮数
同调维数

Related Translations:

homological:  adj.＝ homologous. homologically ad.

homological figures:  同源图形

homological figure:  同源图形

homological mapping:  同调映射

homological algebra:  同代同调代数同碟数

homological anatomy:  相关部位解剖学

homological invariant:  同祷变量

homological properties:  同调性质

relative homological algebra:  相对同调代数

structure dimension:  结构性维度

Example Sentences:

	1.	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。
	2.	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。
	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
	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 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。
	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。
	6.	In this thesis , we will discuss the homological dimension and homological properities of rings and modules which is one of the most impertinent parts in homological theory . in the first chapter , we investigate the relation of homological properities between ring r . [ [ x ] ] and ring r , we prove that a module m is an injective or a flat r - module , then it is an injective or a flat r [ [ x ] ] - module respectively , and if m is an injective or a flat r - module , then hom ( r [ [ x ] ] , m ) is an injective r [ [ x ) ] - module , r . [ [ x } ] m is a flat r { [ x ] } - module 在第一章中，我们主要研究了幂级数环r [ [ x ] ]与环r上的模的平坦性与内射性之间的关系。证明了当只是一个完全凝聚交换环时，如果m是一个内射或平坦r [ x ] -模，则m是一个内射或平坦r -模。如果m是一个平坦r -模，则r [ x ] _ rm是一个平坦r [ x ] -模。
	7.	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：

"homologenous" Chinese translation, "homologenous organ" Chinese translation, "homological" Chinese translation, "homological algebra" Chinese translation, "homological anatomy" Chinese translation, "homological figure" Chinese translation, "homological figures" Chinese translation, "homological invariant" Chinese translation, "homological mapping" Chinese translation, "homological properties" Chinese translation