代数

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。

We shall first apply the technique ofμ-bases and local cohomology to study the minimal generators for the moving surface ideals of rational cubic space curves and rational quartic space curves,and then study the implicit equations of rational space curves under different definitions of implicit equations.

在第五章中，我们将同调代数理论与μ基理论相结合，详细分析三次及四次空间有理曲线的动曲面理想生成元，为一般空间有理曲线的动曲面理想生成元的(来源：A21B12ceC论文网www.abclunwen.com)研究开辟可能的道路。

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〓。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

进一步证明了：在复平面C中，任意有界域的拓扑边界上连续函数代数的K_1-群与其边界上的上同伦群同构。

It shows the effectiveness and practicability of the approach to prove algebraic identies with combinatorial analysis .

说明了用组合分析方法证明代数恒等式的有效性和实用性。

Today, the main means of the study of the 3-manifold are the algebraic method, geometrical method,and combinatorial method.

目前，关于三维流形理论的研究主要有代数方法，几何方法和组合方法。

This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas.

这有提供非常直接的代数的入口方面的优势，和对组合的拓扑，以及物理想法。

They go to town. Would you just ask them?

他们在城里你能问他们吗？

Ossein pretreated for a2 weeks period exhibited the maximum% yield incase of bone gelatin, while the yield from intact skin was higher than that realized incase of de-scaled skin.

预处理时间达2星期的骨胶原表现出最高的骨明胶百分产量，然而从未处理鱼皮中得到的产率比去鳞的鱼皮得到的要高。