零因子

环中元素可分两类：一类为可逆元，另一类为零因子；

There are two kinds of elements in the rings . One is reversible element , and the other is zero divisor .

Zn[ω]与形式三角矩阵环的零因子图

The Zero Divisor Graphs of Z_n [ ω ] and Formal Triangular Matrix Rings

一类具有n（n>5）个零因子的环

A Class of Commutative Rings with n ( n > 5 ) Zero Divisors

R（+）M与R（？）I的零因子图

The Zero-divisor Graphs of R ( + ) M and R (?) I

一个无零因子的交换环R称为拟赋值环，如果R中有一个非零元素a，使得R的任意非零元都整除a的某个方幂。

Let R be a commutative ring without zero-divisor , R is called a quasi-valuation ring , if it contains a non-zero element a such that any non-zero element of R divides a power of a.

无零因子环是除环或是Jacobson根环。

And a ring without zero divi - sor is a division ring or Jacobson radical ring .

本文首先得出哉F上有单位元无零因子交换完全幂等代数A是F的扩域的结论，给出域F上二维完全幂等代数的结构；

It is obtained that the commutative completely idempotent algebra which has unit element and no zero factor is a extension field on F. The structure of two dimension completely idempotent algebra is given out .

零因子素数傅里叶变换（ZFT）及其硬件实现

A Zero Factor Prime Radix Fourier Transform ( ZFT ) Algorithm and Its Hardware Realization

本文从Nielsen方程和Appell方程出发，利用有关的矩阵零因子理论，导出了相应的不含待定乘子的一般方程。

Based on the theory of the zero factor of matrix , this paper has derived the corresponding general equations with the undetermined multipliers eliminated from Nielsen and Appell equations .

从素基数DFT出发，应用数论理论讨论了一种应用二阶递归滤波结构的算法及零因子转换算法（ZFT）。

Based on the prime radix DFT and number theory , an algorithm using the second order recursive filter and the zero factor prime radix Fourier Transform ( ZFT ) is presented .

引入导数矩阵的左零因子，使得滑模曲面及控制器参数的求解可经过求解严格线性矩阵不等式（LMI）获得，在一定程度上简化了LMI方法在奇异系统变结构控制器设计计算中的计算复杂性。

A left null factor of derivative matrix is introduced , and the sliding surface and the control 's parameterization can be obtained by sloving strict LMI . To some degree , that predigests complexity in our design of variable structure control for singular systems by using LMI approach .

标准算子代数上完全保可逆性或零因子的映射

Maps Completely Preserving Invertibility or Zero Divisors on Standard Operator Algebras

具有有限维左零因子代数的一类代数

The algebras which subalgebra with an lefe zero divisors are finite dimensions

环的零因子及其有关问题

On Zero Factors of a Ring and the Related Problem

关于有限环的阶与它的零因子个数

On the Order of Finite Ring and the Number of its Zero-Divisors

有零因子的交换环上w-模的链条件及其应用

Chain Conditions on w-modules of Commutative Rings with Zero Divisors and Application

方法：引入零因子的概念。

Methods : Introduce the concept of zero factor .

含有限个零因子的环的阶

The Orders of the Rings with Finite Zero Divisors

无零因子四元结合代数的个数

Amount of Non - Zero Divisor Four Associative Algebra

半群环的零因子

On zero divisors of a quasi - group ring

关于环的零因子

On the Nil - factors in a Ring

本文将完全刻划出无零因子环的所有幂自同态。

In this paper , we will completely characterize all power endomorphisms of rings without zero divisor .

左零因子理想具升键条件之Г-环和广义Г-环

The г - rings and Generalized г - rings with Ascending Chain Condition on Left Zero Divisor Ideals THE BOND WAVE FUNCTION

通过对环的零因子进行限制，推广了环同态所保持的性质，证明了几个重要的定理。

The properties kept by homomorphism of rings are generalized by restricting zero divisors of rings , and some important theorems are proved .

刻划了一类含左零因子的代数的结构，解决了己有文献提出的问题。

The structures of a kind of algebras which contain left zero-divisors are characterized , and the problem advanced in Wu Pinshan 's work ls solved .

文中讨论了重模剩余类环为域的充要条件以及该环非域时环中可逆元与零因子的判别法；

The necessary and sufficient condition for reduplication modulus residue class rings to be fields and the judgment for reversible elements and zero divisors when the rings are not fields are also discussed .

将一种改进的目标因子分析法（MTFA）用于复杂反应的速差动力学分析体系，采用此法处理实验数据时，引入了一个非零截距因子，采用模拟纯谱运算。

A modified target factor analysis ( MTFA ) method has been applied to differential rate kinetic system in which synergic effects are taken into account in this paper .

分析了权因子的极限性质以及零权因子对曲面形状的影响。

The limit nature of weight and the influence of the zero weight on surface shape are analyzed .

本文讨论了SU（3）群中拓扑荷为4的瞬子组态，求出它们的零模和非零模因子以及它们对重层子对相互作用位势的贡献。

The configurations of the SU ( 3 ) instantons with topological charge 4 are discussed , and their zero mode and non-zero mode factors as well as their contributions to the interaction potential of heavy quark pairs are evaluated .

作者还定义并讨论了无幂零元根环类与无零因子根环类以及它们相应的模类。

The author also defines and discusses radical class of rings without nilpotent element , radical class of rings without zerodivisor and the correlative module classes to them .