查询词典 injective envelope

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。

Furthermore every left -Hopf module is injective as a left L-comdule.

进一步，证明每一个左-Hopf模在作为L-余模时是内射模。

In section one, We characterize when matrix ring, upper triangular matrix ring and trivial extension are simple J-injective rings.

在文章的第一部分我们给出了全矩阵环、上三角矩阵环和平凡扩张是单J—内射环的刻划。

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。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。