- 更多网络例句与同调维数相关的网络例句 [注：此内容来源于网络，仅供参考]
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After that, using the method of group action we get the formula for computing of dimensions of cohomology of holomorphic vector bundles with trivial pull-back on non-primary Hopf manifold, of which the fundamental group is Abelian 〓.
我们利用群作用的方法，给出了具有Abel基本群〓的非主Hopf流形上具有平凡拉回的全纯向量丛的上同调维数的计算公式。
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The injective rings play an important role in the study of rings and categories of modules . First , we introduce the notion of ann-injective rings and CT-injective modules .Second,we make an inquiry into a series of their properties.Third,we give the definition of homological dimension of CT-injective modules.At last,we give the definition of FGT rings which is the extension of cogenerator rings.
本文对环与模范畴中一重要的模类—内射模进行了延拓，引入了ann -自内射环以及CT -内射模的概念，探讨了它们一系列的性质，并定义了CT -内射模的同调维数，最后对余生成子环进行推广得到了FGT -环，讨论了它与CT -内射环的关系以及它的一些性质。
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Using derivations and skewderivations,we get the dimension of the second cohomology groups of finite-dimensional Lie superalgebras of Cartan type with a non-degenerate associativeform.
利用导子与斜导子，我们又给出了具有非退化结合型的有限维Cartan型李超代数的第二上同调群〓的维数。
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The contents include the computing of dimensions of cohomology of line bundles on non-primary Hopf manifolds and their applications to the existence problem of holomorphic structure or filtrable holomorphic structure on a continuous vector bundles; the structure and the computing of dimensions of cohomology of holomorphic vector bundles with trivial pull-back.
在这篇博士学位论文中，我们研究了非主Hopf流形上全纯向量丛，主要包括：非主Hopf流形上全纯线丛的上同调维数的计算，以及它们对连续向量丛上全纯。。。
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We will call the construction a crossed product. The results about the sufficient and necessary conditions for A#H, the smash product, to have finite global homological dimension have been discussed in ~WYZ. which will be extended to crossed prodcut A#a.
关于smash积有有限整体同调维数的充分必要条件这一结果在中已有了一定的讨论，本文主要是将关于smash积的这一结果推广到crossed积。
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So in chapter 2, we use P-flat and P-injective modules to characterize some important rings, like SF-rings, Von Neumann regular rings and Coherent rings, etc. In chapter 3, we introduce the homological dimension of P-flat and P-injective modules.
众所周知，正是由于研究各类模以及它们的同调维数，人们才能对环得到更深层次的性质的描述，所以在第二章中，我们就利用了P-平坦模与P-内射模来刻划几种重要的环，如SF环、Von Neumann正则环、凝聚环等。
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In chapter 4, we study homological dimensions of H-invariant subring for Hopf astions and smash coproducts.
在第四章，我们研究了Hopf作用的不变子环与smash余积的同调维数。
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The research about the subject largely developed and extended the classical results about homological algebra.The theory of relative homological dimensions of modules and rings are the main research field in the subject.
关于这门学科的理论研究，极大的丰富和发展了同调代数的经典结果，而环与模的相对同调维数理论是相对同调代数这一门学科的重要研究领域。
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In chapter 1, we study the injective test sets and homological demensions.
在第一章，我们研究了内射测试集和同调维数。
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In recently years, much progress about injective modules has been obtained, particulary about injective test sets and homological dimensions.
近年来，对内射模的研究已经取得了许多令人鼓舞的进展，特别是内射测试集和同调维数的研究。
- 更多网络解释与同调维数相关的网络解释 [注：此内容来源于网络，仅供参考]
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cohomological dimension：上同调维数
cohobation | 回流蒸馏 | cohomological dimension | 上同调维数 | cohomology algebra | 上同调代数
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cohomological dimension of modules：模的上同调维数
模的拟同构|quasi-isomorphism of modules | 模的上同调维数|cohomological dimension of modules | 模的稳定同构|stable isomorphism of modules
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cohomology algebra：上同调代数
cohomological dimension | 上同调维数 | cohomology algebra | 上同调代数 | cohomology class | 上同调类
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homological dimension：同调维数
homologenetic induction 同源诱导作用 | homological dimension 同调维数 | homological figures 同源图形
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homology group：同调群
"流形"(manifold)的概念最早是在1854年由 Riemann 提出的(德文读者在微积分里可能会碰上"紧致"(compact)的概念. 对流形来说,紧致就是用数学语言说,就是"紧致而无边". 紧致无边流形称为闭(closed)流形. 扑空间各个维数的同调群(homology group)和同伦群(homotopy group),然后根据这
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weak global dimension：弱整体维数
weak generator 弱生成算子 | weak global dimension 弱整体维数 | weak homology group 弱同调群
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homological dimension：同调维数
homologenetic induction 同源诱导作用 | homological dimension 同调维数 | homological figures 同源图形
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homological figures：同源图形
homological dimension 同调维数 | homological figures 同源图形 | homological mapping 同调映射