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。

Now, we obtain expectative results by apply cohomology to discussion of Analytical dynamics.

本文将上同调用于讨论动力学方程，得到了预期的结果。

The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory.

该语言是有意不断初级程度，避免层论的上同调理论。

And we also give some finiteness and vanishing results for generalized local cohomology modules under some conditions.

且在一定条件下得到了有关广义局部上同调模的有限生成性和零化性质的几个结果。

It discusses the relationship between left-supersymmetric structures on Lie superalgebra and its 1 th cohomology group.

讨论了李超代数上的左超对称结构与其上的1维上同调群的关系。

In this paper, we mainly discuss the procedure for computing the rational cohomology of quotients group actions in symplectic geometry.

本文主要讨论辛几何中群作用的商的有理上同调的计算方法。

We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension, thus we solve its classification in the sense of cohomology;

我们给出了有限维对称自对偶色李代数可以双扩张的充分条件，从而在上同调意义下解决了这类色李代数的分类问题；