查询词典 homological

Methods of algebraic geometry rely heavily on sheaf theory and other parts of homological algebra .

代数几何方法在很大程度上依赖束理论和其他地区的同调代数。

The aim of this paper is to study the category of modules over a triangular matrix rings and its homological properties.

本文共分四章，目的是研究三角矩阵环上的模范畴及其同调性质。

The injective rings play an important role in the study of rings and categories of modules . First , we introduce the notion of ann-injective rings and CT-injective modules .Second,we make an inquiry into a series of their properties.Third,we give the definition of homological dimension of CT-injective modules.At last,we give the definition of FGT rings which is the extension of cogenerator rings.

本文对环与模范畴中一重要的模类—内射模进行了延拓，引入了ann -自内射环以及CT -内射模的概念，探讨了它们一系列的性质，并定义了CT -内射模的同调维数，最后对余生成子环进行推广得到了FGT -环，讨论了它与CT -内射环的关系以及它的一些性质。

In the chapter two, we will recall some basic concepts and properties in commutative algebra and homological algebra.

在第二章中，作者介绍了交换代数和同调代数的一些基本概念和性质。

We will call the construction a crossed product. The results about the sufficient and necessary conditions for A#H, the smash product, to have finite global homological dimension have been discussed in ~WYZ. which will be extended to crossed prodcut A#a.

关于smash积有有限整体同调维数的充分必要条件这一结果在中已有了一定的讨论，本文主要是将关于smash积的这一结果推广到crossed积。

When it came to 1940s, with the springing up of homological algebra, module theory went a step further.

到了四十年代，由于环论的需要以及同调代数的兴起，模的理论更进一步得到了发展。

In [3], Beligiannis developed a homological algebra in C which parallels the homological algebra in an exact category in the sense of Quillen.

在文[3]中，Beligiannis沿此思路研究了三角范畴的同调性质。

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。

Results show that these sequences are homological to Brassica napus and Arabidopsis mtDNA genome partially. But they are not homological to CMS gene reported before.

结果表明，所获得的特异片段均与拟南芥和甘蓝型油菜的线粒体基因组序列部分同源，但与已发表的不育基因序列没有同源性。

In this dissertation,we concentrate on the homological properties of DG mod-ules over connected DG algebras and study various homological invariants.

本文以连通DG代数上的DG模范畴为研究对象，系统地研究了连通DG代数上的DG模的同调性质及各种同调不变量。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。