内射维数

The ann-injective rings start at the angle of annihilator,at the same time,the CT-injective rings start at the angle of cycle tortionless modules.

在第三章，我们引入了CT -内射维数的概念，从维数的角度来更进一步地认识CT -内射。

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。

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。

In this paper, we further research P-injective modules, define the concept of prime injective modules and prime injective dimension of module, and discuss the properties of them.

本文在[3]的基础上进一步研究了P-内射环，对于交换环我们引入了素内射模和模的素内射维数的概念，讨论了它们的性质。

In this paper, we study syzygies of injective resolvent s and cosyzygies of injective resolutions, and probe the relationship of injective resolvent s and injective resolutions, and then prove that if R is a Noetherian ring with id≤n, then every left R-module has injective dimension at most n or ∞.

研究了内射预解式的合冲模与内射分解式的上合冲模，并探讨了内射预解式与内射分解式之间的联系，证明了如果环R是Noether环且id≤n，则每个左R-模的内射维数小于等于n或者为∞。

It is proved that ① Let R be right AGP-injective and right P-V'-ring, then R is left nonsingular ring.

若R是右非奇异的，右有限Goldie维数的右AGP-内射环，则R是半单Artin的。

We discuss some properties of GPP- ring and the relations between GPP- ring and - regular ring.

在第三章中，我们主要讨论了n-平坦模和n-FP内射模，定义了n-平坦维数和n-FP内射维数，并考虑了交换n-凝聚环中的n-平坦模和n-FP内射模。

In chapter 1, we study the injective test sets and homological demensions.

在第一章，我们研究了内射测试集和同调维数。

In recently years, much progress about injective modules has been obtained, particulary about injective test sets and homological dimensions.

近年来，对内射模的研究已经取得了许多令人鼓舞的进展，特别是内射测试集和同调维数的研究。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。