When a direct sum of lifting modules is lifting is studied here.
研究了提升模的任意直和在什么条件下仍是提升模。
An integral extension construction of domains was also derived by using the semi-direct sum of rings.
同时，还证明了半直和的剩余类环是整环的一个整扩张。
We introduce the notion of topological direct sum, and get a representative theorem of inductive limit by topological direct sum and quotient space.
然后引入拓扑直和的概念，利用它和商空间给出一个归纳极限表示定理。
According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring, the linear block code for multiplexing systems is proposed.
依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。
The definition of similar quasi-direct sum of matrix is introduced. Andthe connection with group inverse is discussed. Some properties and applications are obtained.
首先引入矩阵的相似准直和的定义，讨论了它和群逆的关系，得到了一些性质和应用．。
In this paper, we have discussed root subspace decomposition of linear space, and for the linear space have decomposed direct sum of root subspace, a primary proof is given.
文章讨论了线性空间的根子空间分解，并对线性空间分解成根子空间的直和给出了较为初等的证明。
This paper presents that the sum of the value register of linear transformation and thenucleus is a full and necessary condition for direct sum, and from which five inductions are obtained.
给出了线性变换的值域与核的和是直和的充要条件，并由此得到五个推论。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
This month, for example, it added the option to make direct payments to its service, letting users donate a specified sum directly to a website.
例如，本月它增加了直接为其服务付款的功能，让用户直接为网站支付特定数额。
If a DataNode's load level is greater than the sum of its neighbors, then load-destination nodes (direct neighbors and other nodes) will be chosen at random.
如果DataNode的负载级别大于其邻近节点，将随机选择那么负载目标节点(直接相邻的节点及其他节点)。
The sum() subroutine is implemented in a direct way.
sum()子例程是以直接的方式实现的。
It is tempting to think of the globalisation of the Labour market as a zero-sum game in which Mrs Kamal in Pakistan is benefiting at the direct expense of Ms Vetter in America.
这不禁让人想到，劳动力市场的全球化就像一个零和游戏，在这个游戏里，巴基斯坦的Kamal女士直接受益于美国的Vetter女士。
They said one option would be to let the TNC borrow against the sum until direct transfers can be authorized by, among others, the United Nations sanctions committee.
他们表示，其中的一个选择是，将允许利比亚全国过渡委员会从这些款项中借支一部分资金，直到直接转帐被包括联合国制裁委员会在内的有关方面授权为止。
It is proved that the (a, b) invariant subspaces can be always decomposed into a direct-sum form of some radical subspaces.
证明了任意一个(A,B)不变子空间一定能分解成一些根子空间的直和。
The direct cause of the appearance of the stock system is the contradiction between limited amount of single capital and the continuous increase of the lowest sum of production capital.
单个资本数量有限与生产资本最低额不断提高的矛盾是股份制产生的直接原因。
The abstract concept "society" means to the individual human being the sum total of his direct and indirect relations to his contemporaries and to all the people of earlier generations.
对于个人来说，“社会”这个抽象概念意味着他对同时代人以及以前所有各代人的直接关系和间接关系的总和。
By means of the exclusive sum of products of a fault tree, the improved method USES the basic event parameters direct in the synthetic evaluation and makes the fault tree kinetic analysis more simple.
借助故障树的不交积之和，直接由底事件参量进行综合计算，将简化故障树的动态分析。
The collective public space, the city, is just a direct consequence of the sum of private individual projects.
城市作为集体公共空间，只是私人项目总和的直接后果。
To sum up, the economic benefits were an important factor to direct peasants to apply fertilizer .
经过综合分析，经济效益是指挥农民施肥的重要因素之一。
Direct billing service is available at our widely located network hospitals to save your large-sum cash payment and the trouble of submitting claim materials.
当您在我们的网络医院里就诊时，可以享受直接结算服务，省去了大量现金垫付和传统理赔提交各种材料所带来的麻烦。
To sum up, there are about four main types of problems: the first is to study the movement occurs when the direct, nor is the desire for instant speed.
归结起来，大约有四种主要类型的问题：第一类是研究运动的时候直接出现的，也就是求即时速度的问题。
To sum up, there are about four main types of problems: the first is to study the movement occurs when the direct, nor is the desire for instant speed.
归结起来，大约有四种主要类型的问题：第一类是研究运动的时候直接出现的，也就是求即时速度的问题。
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