查询词典 homological

The main contents are modules on rings,representations of groups and character theory, categories, and homological algebra.

它为数学系各方向的研究生，提供基本的现代代数学的思想、方法、和工具。

Homological algebra plays such an important part in modern developments.

同调代数在现代发展中起了如此重要的作用。

The subject of relative homological algebra was introduced by S.

相对同调代数是S。

This makes it urgent to develop system-atically a theory of DG homological algebra.

发展一套系统的微分分次同调代数理论显得非常迫切。

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。

In the chapter two, we will recall some basic concepts and propertiesin commutative algebra and homological algebra. In the chapter three,wewill defineⅠ-flat modules and give equivalent conditions: one module M isanⅠ-flat R-module if and only if for all prime ideals p,SuppTor_1~R

本文首先介绍了关于平坦模的一些基本概念和性质，而后将平坦模的概念在一定意义上进行推广，定义了I-平坦模，并得到了模M是I-平坦R-模的等价条件：对R中所有素理想p，有suppTor_1~R

Third,we give the definition of homological dimension of CT-injective modules.

在第一章中，我们给出了ann -自内射环的定义以及一些等价条件。

The structure of R with small homological dimension is discussed.

至于整体维数有限的左右Noether局部环是否是整环，至今尚未解决。

So in chapter 2, we use P-flat and P-injective modules to characterize some important rings, like SF-rings, Von Neumann regular rings and Coherent rings, etc. In chapter 3, we introduce the homological dimension of P-flat and P-injective modules.

众所周知，正是由于研究各类模以及它们的同调维数，人们才能对环得到更深层次的性质的描述，所以在第二章中，我们就利用了P-平坦模与P-内射模来刻划几种重要的环，如SF环、Von Neumann正则环、凝聚环等。

The injectivity of a Clifford semigroup and its ideals is investigated,and the homological classification of a Clifford semigroup by the injective properties over its ideals is gained.

研究了Clifford半群及其理想的内射性质，得到了Clifford半群关于理想的内射性同调分类，并对自内射的Clifford半群给出了刻画。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。