查询词典 injective object

Due to the inspiration of maximal injective module by professor Wang Ming-yi, in chapter two, we introduce the conception of max-projective modules, discuss its properties, applications: the primitive relations between rings and endomorphism rings, an equivalence that is surrounding strongly V.N. rings.

受汪明义教授引进极大内射模概念的启发，在第二章中我们引进了极大投射模的概念，由此讨论了它的一些性质及其应用：环与自同态环之间的本原性关系；强正则环的一个等价刻划；并在环为交换和非交换的情形下分别应用有限表现模的极大投射性得出了SF环和Von Neumann正则环的关系。

Furthermore, it is shown that every pure projective left R-module is closed under pure submodule if and only if every pure injective left R-module is closed under pure epimorphic image.

最后，作为应用，证明了每一纯投射左R-模在纯子模下封闭当且仅当每一纯内射左R-模在纯满像下封闭。

It is proved that a left R-module P is pure projective if and only if for any pure epimorphism E→M→0, where E is pure injective, Hom→Hom→0 is exact.

证明了左R-模P是纯投射的当且仅当对任意纯满射E→M→0，其中E是纯内射的，Hom→Hom→0是正合的。

A ring R is called right co-coherent if every finitely cogenerated factor module of a finitely cogenerated injective right R-module is finitely corelated.

如果有限余生成内射右R-模的有限余生成商模是有限余相关的，则R称为右余凝聚的。

Third,we give the definition of homological dimension of CT-injective modules.

在第一章中，我们给出了ann -自内射环的定义以及一些等价条件。

Every module is a submodule an injective module and a homomorphic image of a projective module.

任何模都是内射模的子模，也是投射模的同态像。

Let G = V(G,E be a simple graph with |V| vertices and |E| edges. Let |V|= p,|E|= q, if there exists f: V →{1,2,...,p} be an injective mapping, and define an inducedfunction f":E→{1,2,...,q} by setting f"=|f-f| for all∈E. If f maps E onto {1,2,...,q}, then f is said to be a Skolem-graceful labeling of G, the graph G is said to be a Skolem-graceful graph.

对一个给定的简单图G=V(G，E，|V|和|E|分别是图G的顶点数和边数，令|V|=p，|E|=q，如果存在一个一一映射f：V→{1，2，…，p}，使得对所有边∈E，由f′=|f-f|所导出的映射函数f′：E→{1，2，…，q}是一一对应关系，则称f是图G的一个Skolem优美标号，图G被称为Skolem优美图。

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。

After explaining total design of automated test system for microcircuit , the thesis introduces GPIB standard .

文章在说明了微电路模块自动测试系统的总体设计后，对GPIB标准进行了介绍。

He interceded in my behalf.

他替我说情。