同调代数

But the theory of cohomology for superalgebra needs more work.

但是超代数的上同调理论还需要进一步的研究。

In section 7,we give a way to construct even dimensional symmetric self-dual Liealgebras from the point of view of cohomology.

在最后一节中，我们从上同调的观点，给出了偶数维对称自对偶李代数的一种构造方法。

If cohomology with integer coefficients is used, so that

它在霍奇的著述的一个结果中出现，他在1930至1940年间通过包含额外的结构丰富了德拉姆上同调的表述，这种结构出现于代数簇的情况。

This yields the unboundedness of the cohomology of non-trivialA(?kregular DG algebras.

由此可知非平凡的正则DG代数必然是同调无界的。

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。

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〓。

This course will focus on some fundamental knowledge and methods of general topology and algebraic topology, including the theory of topological spaces, continuous maps, fundamental group, the theory of covering spaces and simplicial homology and so on.

本课程将着重介绍点集拓扑学和代数拓扑学的一些基本知识和基本方法，包括拓扑空间理论、连续映射、基本群、覆盖空间理论和单纯同调群理论等。

In chapter 2, we study a kind of operator algebra acted on the Hilbert space H which is called the closed weakly reducible maximal triangular algebra, denoted by S.

第二章我们研究了一个作用在Hilbert空间Η上的闭弱可约极大三角代数S，证明了S的系数在Β中的任意阶完全有界Hochschild上同调群H_~nS，Β(Η(n≥1)是平凡的。

Homology Theory: An Introduction to Algebraic Topology, James W.

本书是同调代数和代数拓扑方面的一本著名的教材。

This paper discusses the kernel of the system -- geometric model and includes the following:(1) The topological elements and the relation between them in geometric modeling system are explained and expressed by the theory of simplicial complex and CW-complex. In addition, the identification operators and homology theory in algebraic topology are used in our model. A hierarchical structure is built on the base of complex.

本文主要讨论这个系统的核心问题——几何建模问题，包括以下几个方面内容：(1)用单纯复形和CW复形的理论来解释和表达造型系统中的拓扑元素和拓扑元素之间的相关关系，并将代数拓扑中的粘合操作和同调论应用到模型中，建立以复形为基础的层次结构。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。