查询词典 injective object

Firstly, the regularity of right nonsingular AGP-injective rings are studied.

首先，研究了非奇异的AGP-内射环的正则性。

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。

The stuff in between, including the internal Lemma, is there only to prove there exists an injective map from the group of rational points on an elliptic curve to the group of points over each finite field of prime order not dividing 2D where D is the discriminant.

证明中间的引理，主要是证明椭圆曲线上有限阶有理点到有限域上椭圆曲线的点之间的嵌入映射的存在性，其中点的阶不整除两倍的判别式2D。

It is shown that let R be right nonsingular AGP-injective rings, if R be right CF rings and every right principal ideal is two-side ideal, then R is Von Neumann regular ring.

证明了设R是右非奇异右AGP-内射环，如果R是右CF-环且每个主右理想都是双边理想，则R是正则环，其次，讨论了右AGP-内射环的非奇异性。

We next establish certain conditions which arc necessary and sufficient for a projective module over a cellular algebra to be injective.

给出了胞腔代数是标准分层代数的一个充分条件，利用这个条件我们介绍了一种归纳构造标准分层的胞腔代数的方法； 5。

It is surjective,but not injective,unless the equivalence on S was just equality;S/- is called a quotient set.

它是映射，但不是赋值，除非S'等价于S获得证明， S'被称为商的集合。

In the second section, we extend the conception of right pm-injecitve from ring to module and obtain the notion of right qpm-injective module.

第二部分把右pm-内射概念从环推移到模上，引入右qpm-内射模的概念。

The result is that:(1) A right R-module M is right qpm-injective module if and only if for any s.t S = End with ker = ker, then Ss = St.

所得到的结果是：(1)右R-模M是右qpm-内射模当。

If R is right non-singular, right AGP-injective and finite right Goldie dimensional, then R is artin semisimple ring.

最后，给出一个例子说明AGP-内射环和P-V'环均不具有左、右对称性。

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。

He tendered his resignation to the Prime Minister.

他向首相递了辞呈。不适合

International economy and trade,Nanking 210044

国际经济与贸易，南京 210044