半

In Chapter 5, a construction method of regular subdirect product of regular semirings is given by using of a special mapping on semiring.

第五章，利用半环上的一个映射给出了正则半环的正则次直积的一种构造方法。

Submaximal ideal and subminimal ideal of semiring;2. In this paper,the concept of subminimal ideal of semiring is introduced.

提出了半环的次极小理想的概念，讨论了半环的次极小理想的基本性质，并得到了一些相关的结论。

Congruence and ideal are major tools in studying the structure of semiring. Many scholars have deeply, systematically studied on them.

半环的同余，理想是研究半环结构的主要工具，许多代数学者对此进行了深入系统的研究。

The semiring congruence on a class of generalized regular semiring S was studied.

研究了一类广义正则半环 S上的半环同余。

It is proved that a semiring S has ζ_s -injective modules if and only if S is a non-zeroic semirings.

证明了一般半环上存在着非零s-内射模当且仅当S为non-zoroic半环。

To enhance security in Ad-Hoc networks,it is important to evaluate the trustworthiness of other nodes without centralized authorities.In this work,authors focus on the evaluation of trust evidence in Ad Hoc networks.First,the authors introduce the metrics of the trust,the evaluation process is modeled as a path problem on a directed graph,where nodes represent entities,and edges represent trust relations.Using the theory of semirings,a trust evaluation model based on semiring（TD-SEMIRING） is developed,then two nodes can establish an indirect trust relation without previous direct interaction and introduce the application of this model in route election.At last,the feasibility of this model is analyzed.

讨论了对可信事件的评估：首先介绍了可信的相关概念和相关的特性；接着评估过程被建模成一个在有向图寻找最短路径的问题，在该有向图中结点表示实体或者用户，边表示可信关系，通过使用半环理论，建立了一个基于半环的可信性评估模型TD-SEMIRING，在两个以前没有进行相互操作的实体之间建立间接的可信关系，介绍了这个模型在路由选择当中的应用；最后，通过仿真实验，验证、分析了该模型的有效性。

We prove Noether N-semisimple rings are a kind of rings that lie between semisimple rings and left hereditary rings.

并且证明出NoetherN-半单环是介于半单环与左遗传环之间的一种环。

The derived group series of p - semisimple BCI - algebras and the derived semigroup series of generalized a - associative BCI - algebras are given.

并给出了p-半单BCI-代数的一个导群列和广义a-结合BCI-代数的导半群列。

Following from the results of sensitivity analysis of standard eigenvalue problems,the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved,and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained.

以标准特征值问题灵敏度分析的有关结论为基础，证明了单参数非对称广义特征值问题半单重特征值的可微性，给出了特征值导数的表达式和特征向量的级数展开式。以所得结论为基础，定义了广义特征值问题半单重特征值的灵敏度，给出了确定矩阵对中敏感元素的方法

In the special case when G = AutX, we call a G—vertex-transtive graph, G—edge-transtive graph, G—semisymmetric graph X is vertex-transtive edge-transtive semisymmetric graph respectively In this paper we investigate the autmorphism graph AutX of the cubic semisymmetric graph of order 12p ,when p is primes.

特别地，若G=AutX这时的G-点传递图、G-边传递图、G-半对称图称为点传递图边传递图半对称图。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。