数环

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。

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Next in section 2.3,usingthe finite isolated regular representations in SO(3)character varity of 〓,weobtained a computation formula of SO(3)Donaldson invariants with degree 1 of4—manifold 〓(Theorem 2.3.1).Finally in section 2.4 wediscussed the Donaldson invariants of 4—manifolds with smoothly embedded 2—torus 〓 whose selfintersection is +1,with the help of the single irreducibleSU(2)representation of the principal 〓—bundle over a 2—torus with Eulernumber—1,we got a gluing formula of the Donaldson invariant on the 2—homology represented by 2—torus 〓(Theorem 2.4.1),it is a supplement of P.

最后在§2.4我们讨论了具有自交数为+1的嵌入环面〓的4—流形的Donladson不变量，运用环面上欧拉数为-1的圆丛的单个不可约SU（2）表示给出了Donaldson不变量在环面表示的同调类上的一个粘合公式（定理2.4.1），这一结果补充了P。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

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Then can weld starting the resistance directly on the rotor winding, and cancel collecting the electric ring and electric brush.

将定子一种极数的磁场感应于转子绕组中的电流，通过集电环和电刷，但由另一种极数的磁场感应的电流，却自动流经另一闭合回路，而不通过集电环和电刷：于是，如果后一种极数是电动机的工作基波磁场，而把前一种极数作为用以起动的谐波磁场，则可以把起动电阻直接焊接在转子绕组上，而把集电环和电刷取消，从而出现了转子电路上无集电环、无电刷、无触点的谐波起动绕线型感应电动机。

Some properties of local rings with weak global dimension one are discussed and a class of rings are shown to be such local rings.

讨论了具有弱总体维数为1的局部环的一些性质，并证明了一类环是弱总体维数为1的局部环。

Demolition 1.1 The demolition of lifting mechanism 1.1.1 demolition handle pin, handle, fork rod pin, fork rod, valve pin, valve stem and stem nut locking pin; 1.2 regulate the demolition of ring 1.2.1 unloaded ring and nozzle ring adjustment screw, recording the number of alveolar nozzle ring nozzle ring used to turn to the right (anti-clockwise direction) until the stent in contact with the valve flap, recording the number of rotating shafts of the methods.

拆卸 1.1 提升机构的拆卸 1.1.1 拆手柄销、手柄、叉杆销、叉杆、阀销、阀杆锁紧销及阀杆螺母； 1.2 调节环的拆卸 1.2.1 卸下调节环和喷咀环的固定螺丝，记录喷咀环的齿槽数采用将喷咀环向右转（反时针方向直至与阀瓣支架相接触，记录所旋转的槽数的方法来实现。

An auxiliary power motor with improved structure includes wheel shell, rotor ring, stator plate, central wheel axle and control circuit.

一种改良结构的辅助动力马达，包括轮壳、转子环、定子盘、中心轮轴及一控制电路，转子环的内环面埋设磁铁，定子盘周围固设环形矽钢片，其外环面具有多个T形齿牙，其齿数为非转子环磁铁数的公倍数，矽钢片设有三相星形线圈绕组，且于定子盘电机最佳启动角度处设有霍耳元件组；借此将定子盘固设于中心轮轴，令轮壳夹设住转子环并套设于中心轮轴两侧，当转子环旋转时，即可降低磁极间的钝齿转矩，令电动车行进更加顺畅无噪音。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。