English translation for "projective dimension"

射影维数

Related Translations:

projective:  adj.1.投影的，射影的。2.凸出的，突出的。3.【心理学】投射的。短语和例子the projective power of the mind 想像力。

projective coordinates:  射影坐标

projective rejection:  射影关系

projective transformation:  射影变换投射式变换投影变换

projective vector:  射影向量

projective connection:  射影联络

projective normal:  射影法线

projective frame:  射影标架

projective invariance:  射影不变性

projective geometry:  投影几何。

Example Sentences:

	1.	In chapter 4 , we define the projective dimension of flat modules , use it to characterize many rings , and the relations between cotorsion modules and the projective dimension of flat modules are also given 在第四章中，我们定义了平坦模的投射维数，用它刻划了一些环，并讨论了cotorsion模和严坦模的投射维数的关系。
	2.	When i s is a squarefree strongly stable ideal , ic = i . therefore p and / have the same graded betti numbers , projective dimension and regularity . in this paper , we study the relationship of the betti numbers between ic and i . in section 1 , the concepts of combinatorial shifting and some related results are given ) s为无平方强稳定理想时i ~ c = i ，因而i ~ c和i的分次betti数、投射维数和正则度相同，本文主要研究i为无平方稳定理想时， i ~ c和i之间分次betti数的关系。
	3.	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。
	4.	In section 3 , we show that when i is a squarefree stable ideal , shiftij ( i ) and i have the same graded betti numbers , projective dimension and regularity , then ic and i have the same graded betti numbers , projective dimension and regularity . at last we apply the results we obtained to simplicial complexes 在第三节中证明了当i为无平方稳定理想时， shiftij ( i )与i的分次betti数、投射维数和正则度相同，从而i ~ c与i的分次betti数、投射维数和正则度相同，最后将所得结论推广到单纯复形上。

Similar Words：

"projective cover" English translation, "projective cover degree" English translation, "projective curvature tensor" English translation, "projective deformation" English translation, "projective differential geometry" English translation, "projective doll play" English translation, "projective drawing" English translation, "projective figure" English translation, "projective flat space" English translation, "projective frame" English translation