查询词典 R.R.

Let R be a commutative Noetherian local ring, M a finite R-module and I an ideal of R.

设是交换的Noetherian局部环，I是R中的理想，M是有限生成的R-模。

The Darts Problem is this: for a given R and D, determine what values should be associated with a dartboard's R regions in order to maximize the smallest score unattainable by throwing D darts.

现在来说明掷镖游戏这道谜题的要求了：对每一个我们给的R与 D 的值，请你决定你要给飞镖靶这 R 个区域各几分，目标是在使用 D 支镖的情况下，你『不可能』得到的总分最少是多少，然后你要想办法调整 R 个区域的分数，让这个值尽可能地大。

First,a necessary and sufficient condition that a fuzzy relation R is σ-decomposable is given ,then the solution sets of A and B with AσB=R are obtained.

首先，给出了模糊关系R可σ分解的充要条件，然后在R可σ分解时，给出了使R=AσB成立的A与B的解集。

In the chapter two, we will recall some basic concepts and propertiesin commutative algebra and homological algebra. In the chapter three,wewill defineⅠ-flat modules and give equivalent conditions: one module M isanⅠ-flat R-module if and only if for all prime ideals p,SuppTor_1~R

本文首先介绍了关于平坦模的一些基本概念和性质，而后将平坦模的概念在一定意义上进行推广，定义了I-平坦模，并得到了模M是I-平坦R-模的等价条件：对R中所有素理想p，有suppTor_1~R

Kinetics of methanol dehydration to dimethyl ether on modified kaolin catalyst was studied in an integral reactor under normal pressure. It is deduced that the surface reaction of methanol molecule adsorbed on the active site of catalyst with methanol molecule in gas phase is the rate determining step. The hyperbolic type kinetic equation r=ksbMpM2/(1+bMpM+bpE) is obtained according to the theory of langmuir even adsorption and using the R-E mechanism.

采用积分反应器，考察了常压下在改性高岭土催化剂上甲醇脱水生成二甲醚的反应动力学，根据Langmuir均匀吸附理论，采用R-E机理，推断吸附的甲醇分子与气相主体中的甲醇分子发生的表面反应为速率控制步骤，得到双曲线型动力学方程为： r= ksbMpM2 /(1+bMpM+bpE)（r为反应速率， ks为反应速率常数， bM为甲醇的吸附平衡常数， b为二甲醚和水的吸附平衡常数之和， pM、 pE分别为甲醇、二甲醚的分压）。

In 1977, Nicholson introduced the concept of clean rings as follows: A ring R is said to be clean ring if every element of R is the sum of an idempotent element and an invertible element.

Nicholson引入了一种新的环类，即所谓的clean环：一个环$R$被称为clean环，如果$R$中的任意一个元素均可以表示成R中一个幂等元和一个单位和的形式。

Secondly, the equivalence proposition of right pm-injective ring is obtained, and if R is right pm-injective ring, then the Jacobson radical of R coincide with the right singular ideal.

其次，得到右pm-内射环的一个等价命题，并证明若R是右pm-内射环，则R的Jacobson根与R的右奇异理想相等。

The following statement are the main results:Theorem 2.2.14 Let R be a reduced left morphic ring, then every left ideal of R is generated by a central idempotent. Hence every left ideal of R is also an ideal.

主要结果：定理2.2.14：设R是约化的左morphic环，则R的每一个左理想L都由中心幂等元生成，因而L也是理想。

Are some unknown measurable function from R to R.

U任R，Z一+〔，(21，·，吞)T〔卿是协变量；1，…，p都是从R到R的未知可测函数。

Let ω denote the common measure of the left monad and right monad of r, proves in standard mathematics that ω is a positive infinitesimal outside of R.;Ⅳ.

令ω代表r的左单子和r的右单子的共同测度，在标准数学中证明了ω是R之外的正无穷小；Ⅳ。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。