查询词典 endomorphism

Firstly, some basic concepts about ECC are introduced;then the scalar multiplication under affine coordinate is discussed, we make a research and analysis of the side channel attack of scalar multiplication used in portable device, give out a new scalar multiplication algorithm which has the advantage of efficiency over other protected algorithm; and an improvement of the standard scalar multiplication algorithm proposed by IEEE1363 is made with the efficiency increasing by about 10%; at last, we deal with the using of complex multiplication in scalar multiplication algorithm, we generalize the methods and deduce a complete computing procedure, with proposing a new method which used several different fast endomorphism ,we give out an approach to boost the scalar multiplication with fast endomorphism.

本文首先介绍了椭圆曲线密码的有关基本概念；其次介绍了椭圆曲线上点的标量乘法在仿射坐标下的计算，对一般便携设备上的椭圆曲线点的标量乘法的边信道攻击做了研究与分析，给出了一种在效率上优于其它可抵抗边信道攻击的标量乘法的新算法，并对IEEE P1363 标准给出的标量乘法做了改进，使得标量乘法的运算效率提高了近10%；最后介绍了利用复乘计算标量乘法的方法，对已有的方法进行总结归纳，得出完整的计算过程，并针对两类超奇异椭圆曲线给出了一种利用多个可快速计算的复乘的标量乘法，得出一类普遍的结果，并给出了进一步用复乘加快标量乘法的思路。

In section one, we study regular cu-rings by use of full elements in rings, and give some equivalent conditions for the endomorphism ring of quasi-projective modules and quasi-injective modules to be a cu-ring.

在第一部分，我们利用环中的完全元对正则cu-环进行刻画，并给出了拟投射模和拟内射模的自同态环是cu-环的一系列等价条件。

Moreover, we define weak principally quasi-injective modules and study Jacobson radical of endomorphism ring of weak principally quasi-injective modules.

另外我们还在主拟内射R-模的基础上定义了弱主拟内射R-模，利用零化子对弱主拟内射模上自同态环的Jacobson根的性质进行了讨论。

Finally, sufficient and necessary conditions for endomorphism rings of some special modules to be semi-π-regular are given.

最后，我们对半π正则环作了一定的研究，给出了一个直投射模的自同态环是半π正则环的充要条件。

The aim of this paper is to construct a class of quasihereditary endomorphism algebras with global dimension ≤3 from the algebras of representation dimension at most three.

介绍了表示维数小于等于3的一类非常重要的代数，并从这类代数出发，构造了一类新的整体维数小于等于3的拟遗传自同态代数。

He characterized trees using their endomorphism types in [3]. The endomorphism type of bipartite graphs with diameter three and girth six is given.

文献[2]运用自同态型对树进行了刻画，而文献[3]对直径为3围长为6的2-部图作了讨论，并得到了这类图的自同态型。

Firstly, an equivalence proposition of right qpm-injective module is discussed, and when the endomorphism of right qpm-injective module is right pm-injective ring is observed.

首先，讨论右qpm-内射模的一个等价命题，以及在什么情况下，右qpm-内射模的自同态环是右pm-内射环。

Knauer in 1990 first defined the endomorphism spectrum and the endomorphism type of a graph to study the algebraic structure which is put on a graph by this various endomorphisms.

德国数学家Knauer于1990年在文献[1]中首次提出了自同态谱和自同态型的概念，目的是通过图的各种不同的自同态来研究图的代数结构。

If M is self-generator, then the endomorphism of right qpm-injective module M is right pm-injective ring. Finally, the properties of the endomorphism of right qpm-injective module are discussed and obtain some applications.

且仅当如果ker=ker，其中s，t∈S=End，那么Ss=S_t；(2)如果右R-模M是自生成子，那么右qpm-内射模M的自同态环是右pm-内射环。

Byapplying a general large deviation theorem of Kifer and Ruelle's Smale space tech-nique together with his unique equilibrium state result for non-Holder continuousfunctions,we obtain a level-2 LDT for the Axiom A endomorphism with respectto its equilibrium states,and for Axiom A attractors of the endomorphism withrespect to the Lebesgue measure.

利用Kifer的一个一般性的LDT，Ruelle的Smale空间方法及其关于非〓连续函数平衡态的存在唯一性结果，我们证明了公理A自映射相对平衡态的level-2 LDT，以及自映射的公理A吸引子相对Lebesgue测度的level-2LDT。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。