- 更多网络例句与同调相关的网络例句 [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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When A is a non-trivial,cohomologically finite dimensional regular DG al-gebra,His not bounded above.
当A是非平凡的，同调局部有限维的正则DG代数时，A的同调没有上界。
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The theory of homology and cohomology is very important in mathematics.
同调与上同调理论在数学中占有很重要的地位。
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The main purpose of this thesis is to study the application of the representation theory in Hochschild homology and cohomology groups of algebras, Hopf algebras and quantum groups, which are very active branches at present.
本学位论文主要研究代数表示论在代数的Hochschild同调群和上同调群，Hopf代数和量子群这几个当今很活跃的数学分支中的应用。
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In the representation theory of finite-dimensional algebras, combinatorial tools as quivers and their representations provide effective method in computing Hochschild homology and cohomology groups of finite-dimensional algebras.
代数表示论中的组合工具—箭图及其表示的发展和应用，为计算有限维代数的Hochschild同调群与上同调群提供了有效的方法。
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In particular, we compute Hochschild homology and cohomology groups of infinitedimensional path algebras and some of their quotient algebras, and we prove that for a general monomial algebra (not necessary finite-dimensional), all Hochschild cohomology groups of positive degrees vanish if and only if its Gabriel quiver is a finite tree.
特别地，我们计算了无限维路代数以及某些商代数的Hochschild同调群和上同调群，而且给出了一般单项代数的各正次Hochschild上同调群为零的充分必要条件，即它的Gabriel箭图是有限树。
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We've found that on symplectic manifolds there exists a series of Euler-Lagrange cohomology groups different from both de Rham and harmonic cohomology in general and proposed a set of general volume-preserving equations that contain the Hamiltonian equations as a special case.
中文摘要：我们发现在作为经典力学中的相空间的辛流形上有可能存在不同于de Rham上同调和调和形式的上同调，称之为Euler-Lagrange上同调；提出相空间上保体积的一般方程，通常的正则方程是其特殊形式；进而推广了经典力学中著名的刘维定理；同时把Noether定理与上同调联系起来。
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-homology inverse and group homology inverse are defined in this paper on categories of topologicalspace with base point.
在点标拓扑空间范畴中引进了-同调逆和群同调逆的概念，并讨论了它们存在的条件和性质。
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In thisthesis, we first extend the vanishing theorem due to Lawson, Simons and Xinto the case of compact submanifolds of a hyperbolic space. Thus, by using thenew vanishing theorem for homology groups, we prove the topological spheretheorem for complete submanifolds in a hyperbolic space. Hence we generalizethe Shiohama-Xu topological sphere theorem.
本文进一步将Lawson-Simons-Xin同调群消没定理拓广到双曲空间中紧致子流形的情形，并运用这一新的同调群消没定理证明了双曲空间中完备子流形的拓扑球面定理，从而推广了Shiohama-Xu的拓扑球面定理。
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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。
- 更多网络解释与同调相关的网络解释 [注：此内容来源于网络，仅供参考]
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SYNCHRO BLAST WAVE：同调爆裂波
020 SYNCHRO BOOST 同调增力 | 021 SYNCHRO BLAST WAVE 同调爆裂波 | 022 SYNCHRONIZED REALM 同调领域
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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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cohomology theory：上同调论
cohomology ring | 上同调环 | cohomology theory | 上同调论 | cohomology | 上同调
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homologically connected space：同调连通空间
homological mapping 同调映射 | homologically connected space 同调连通空间 | homologically finite filtration 同调有限滤子
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homology manifold：同调流形
同调群 homology group | 同调流形 homology manifold | 同调环 homology ring
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homology module：同调模
同调论|homology theory | 同调模|homology module | 同调群|homology group; homology group
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homology sequence：同调序列
同调环 homology ring | 同调序列 homology sequence | 同调球面 homology sphere
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spectral homology sequence：谱同调序列
谱同调 spectral homology | 谱同调序列 spectral homology sequence | 谱同调论 spectral homology theory
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homology spectral sequence：同调谱序列
homology ring 同调环 | homology spectral sequence 同调谱序列 | homology sphere 同调球
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homology sphere：同调球面
同调序列 homology sequence | 同调球面 homology sphere | 同调系 homology system