- 更多网络例句与上同调模相关的网络例句 [注：此内容来源于网络，仅供参考]
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Let L and P be Lie color algebras and let M be a graded module over P, the crossed modules which make M as their kernal and P as their cokernal are considered. It is shown that under a suitable equivalent relation, there is a bijection between the set of the equivalent classes CML and the homogeneous components of degree zero of H~3.
从交叉模的定义出发，对于给定的Lie color代数L，P以及阶化P模M，考虑所有以M为核、以P为余核的L的交叉模，在这些交叉模之间定义了一个等价关系，由此得到交叉模的等价类集CML，证明了CML与三维上同调群H~3的零次齐次部分之间存在一一对应，从而可以利用三维上同调群对Lie color代数的交叉模进行分类。
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The aim of this paper is to study the category of modules over a triangular matrix rings and its homological properties.
本文共分四章，目的是研究三角矩阵环上的模范畴及其同调性质。
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It proves that the first cohomology group of Block Lie algebraL with coefficients inL-module V is trivial.
证明了系数在模V上的Block型李代数的一阶上同调群是平凡的。
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The cohomology of q-polynomial coalgebras with coefficients in trivialcomodule K are also determined(see Theorem 6.3.11).Having obtained Theorem 5.2.3 andTheorem 5.2.4,we determine(see Theorem 7.2.6)all the nonzero 〓.
对于这一类q-多项式余代数，我们决定了（见定理6.3.11）系数在它的平凡余模K中的上同调，有了定理5.2.3与定理5.2.4以后，我们决定了（见定理7.2.6）所有非零的〓。
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Notable examples are the development of category theory, which provides a useful framework for a large part of mathematics, homological algebra, and applications of model theory to algebra.
比较明显的例子是范畴论的发展，范畴论对数学，同调代数，以及模论在代数上的应用都提供了一个十分有用的框架。
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By this equality,we prove that the amplitude of a compact DG module M over a cohomologically bounded DG algebra A is just the sum of the amplitude of A and the projective dimension of M.
对于一个同调有界的连通DG代数上的紧的DG模，我们由此等式可得其振幅与DO代数的振幅的差恰是它的投射维数。
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In this dissertation,we concentrate on the homological properties of DG mod-ules over connected DG algebras and study various homological invariants.
本文以连通DG代数上的DG模范畴为研究对象，系统地研究了连通DG代数上的DG模的同调性质及各种同调不变量。
- 更多网络解释与上同调模相关的网络解释 [注：此内容来源于网络，仅供参考]
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cohomological dimension 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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relative cohomology group：相对上同调群
相对内射模|relative injective module | 相对上同调群|relative cohomology group | 相对同调群|relative homology group
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cohomology module：上同调模
上同调类|cohomology class; cohomology class | 上同调模|cohomology module | 上同调平凡模|cohomologically trivial module
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cohomology spectral sequence：上同调谱序列
上同调平凡模|cohomologically trivial module | 上同调谱序列|cohomology spectral sequence | 上同调群|cohomology group; cohomology group
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waveguide dispersion：波导色散
飞秒锁模雷射在光频计量的应用文/彭锦龙,安惠荣摘要锁模雷射在频域上由许多等间距同调的光梳(optical frequency comb)所组成,每一支光梳的频率等於雷射脉冲重复飞秒锁模雷射在光频计量的应用这种光纤的波导色散 (waveguide dispersion)比传统光纤容易操控,