既约剩余类,reduced residue class

1)reduced residue class
既约剩余类

2)reduced residue system
既约剩余系
1.
This article has obtained a series properties and a calculate formula of the sum of the equal powers of the elements of the same order in the reduced residue system.
得到了既约剩余系中同阶元的等幂和的一系列性质及其计算公式，并给出了证明。


2.
This article gives a property and a corollary which is like Chowla s theorem, for reduced residue system.
给出了既约剩余系的一条性质，从而得到一个乔拉（Ｃｈｏｗｌａ）型结


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3)residue class ring
剩余类环
1.
Invertible 2×2-matrices over the residue class rings;
剩余类环上的二阶可逆矩阵


2.
Permutation polynomials over residue class rings
剩余类环上的置换多项式


3.
In order to get more efficient cryptosystem over curves , this paper discussed some basic properties of conic C_n(a,b) over the residue class ring Z_n , where n is the product of two primes .
为了实现更高效的曲线上的密码体制,讨论了当n为两个素数的乘积时剩余类环Zn上圆锥曲线Cn(a,b)的基本性质,证明Cn(a,b)中用映射方式和以坐标方式定义的两种运算是一致的,该运算使得Cn(a,b)的有理点构成Abel群。


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4)residue class
剩余类
1.
Suppose Z is the integer ring, n is a given integer, Z/(n) is a residue class ring module n .
设ｚ是通常的整数环，ｎ是一个给定的自然数，Ｚ／（ｎ）表示模ｎ的剩余类环。


2.
The relationship between the prime numbers with a couple of isomorphic groups was found by investigating the prime numbers and the residue class in the theory of number,the result of the foundings was put up by a theorem,and the theorem was proved systemly in last.
通过对“素数”与“剩余类”的研究,发现了“素数”与一对同构群之间的关系,并且以定理的形式给出,最后作了系数的证明。


3.
In this paper,we draw the conclusion by applying the theory of primitive root that the irreducible residue class group of mdulus m is a sufficient and necessary condition for the cyclic group.
利用原根理论证明了:当且仅当m=2,4,pα,2pα,p是奇素数,α≥1时,模m的不可剩余类群是循环群。


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5)remaining mould
剩余类模
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6)Residue codes
剩余类码


补充资料：既约

这里以代数曲线为例。

设c是代数曲线， c_1,c_2,...,c_n是c所有的不可约分支。

我们知道c总可以写成c=∑m_ic_i (m_i是正整数).

c称为既约，如果所有m_i=1.

从方程角度来看：c是由局部仿射方程 f(x,y)=0定义，此处 f(x,y）是多项式。

f(x,y)可以因式分解为：

f(x,y)=∏(p_i(x,y))^(m_i) ,此处m_i是正整数，p_i(x,y)是不可约多项式。

f(x,y)称为既约，如果所有的m_i=1.

p_i(x,y)=0定义了c的不可约分支c_i, 从而c=∑m_ic_i.

说明：补充资料仅用于学习参考，请勿用于其它任何用途。

既约剩余类,reduced residue class