ring theory

As an important algebraic subject , Ring theory is the base of Algebraic Geometry and Algebraic Number Theory .

环论作为一门重要的代数学科，它是代数几何和代数数论的基础。

In this paper , using some techniques from ring theory , duality theorems for group-graded rings in double products are proved . The main result is that when G is finite , R # kG # .

用环论的方法证明了群分次环上的双积对偶定理，主要结果是当G为有限群时，R＃kG＃。

The application of ring theory in water research

环套理论在找水中的应用

Generalized polynomial identity theory is an important branch in ring theory .

环上的广义多项式恒等式理论是环论的一个重要研究方向。

Public Key Cryptosystem for Graphics and Image Based on Integrating Random Scrambling Permutation and Ring Theory

集成随机置乱和环论的图形图像公钥加密技术

The structural problem of PI-rings has been a main content for ring theory , in particular , for commutativity problem .

满足多项式恒等式环的结构问题是环论一个主要内容，尤其是交换性问题。

The fundamental theorem of arithmetic is an important and basic theorem of theory of number and plays an important role in modern commutative ring theory .

算术基本定理是初等数论中一条非常基本和重要的定理，它所体现的唯一因子分解的思想，在现代交换环理论中起着非常重要的作用。

Based on the nonlinear ring theory , including the effect of one-order shear deformation and pre-buckling deformation , a nonlinear buckling theory was proposed .

结合非线性环理论，考虑了一阶剪切变形的影响和屈曲前变形影响，提出了管道在静水外压和弯曲外压组合荷载下的屈曲分析理论。

Ring theory contains generalized polynomial identity ( GPI ) theory as an important area , which is based upon the investigation of many special identities in prime and semiprime rings .

广义多项式恒等式（GPI）理论是环论的一个重要分支，对素环，半素环上各类型恒等式的研究是GPI理论发展的基础。

The class of the faithfully balanced self-orthogonal bimodules , which is widely used in studying ( co ) tilting theory and Cohen-Macaulay ring theory , is a very important researched object in module theory .

忠实平衡自正交双模是模类里的一种重要的研究对象.它广泛运用于倾斜模和余倾斜模理论及CM-环理论中。

Quantum Ring Current Theory for Magnetic Properties of the Fullerene The circulation in south-west area of the South China Sea

理论方面：量子环流理论研究富勒烯分子的磁学性质

The article represents a development of the general associative ring radical theory ; it features some of the well-known results of associative rings .

本文是一般结合环根理论的推广，结合环中某些熟知结果已成为本文的特款。

The current status and the development of the cold ring rolling theory , technology , equipment , production process control parameters , tooling life and finite element simulation technology have been briefly introduced .

介绍了环件冷辗扩原理、冷辗扩工艺、冷辗设备、加工过程控制参数、模具寿命及有限元模拟技术的现状和发展。

The main works in the thesis are as follows : 1 . The ideal input-output properties of the gyro are obtained through analyzing its principle by use of the optical ring resonator theory .

用环形谐振腔理论分析了激光陀螺的原理，得出了其理想的输入输出特性，接着分析了激光陀螺的闭锁效应及其产生原因。

The mathematic model of flexible wheel is established based on ring and shell theory when different wave producers work .

基于环和薄壳理论基础上，建立了柔轮在不同波发生器工作情况下的数学模型；

Nowadays , many production has been obtained about rectangle section ring 's rolling theory and designing methods , and advanced the rectangle section ring 's application and development .

目前，对于截面形状简单的矩形截面环件轧制成形理论和技术设计方法的研究已取得了丰富成果，因而也大大促进了这类环件轧制成形技术的生产应用和发展。

By using method of ring and semi-group theory and by widening the satisfactory conditions of the subsemiring of semiring , the concept of weak pseudo ideal of semiring is introduced .

借助环论与半群理论的思想方法通过对半环的子半环的条件进行加强，提出了半环的弱伪理想的概念。

Give out two kinds of theory derivation formulas of deformed newton 's ring device . Theory derivation proved that non-contact type and simple type cutting Newton 's Ring device possesses the identical interference law and measurement formula with traditional Newton 's Ring device .

给出了两种变形的牛顿环装置的理论推导公式，理论推导证明非接触式和浅近切割式牛顿环装置与传统牛顿环装置具有相同的干涉规律及测量公式；

The key ring transformed from theory to practice for the method of interactive velocity analysis on CFP gathers is computation of CFP response curves and time-shifted curves according to the results of time interpretation , which is also the new contribution of the paper in theory and practice .

根据时间解释结果计算CFP响应曲线和时移曲线是CFP道集交互速度分析方法从理论到实践过渡的关键一环，也是本文在理论和实践上的一个新贡献。

Fairness Algorithm for Resilient Packet Ring Based on Feedback Theory

基于反馈控制理论的弹性分组环带宽分配算法

This note is a contribution to the application of generalized inverse of homomorphisms of modules in ring ( module ) theory .

本文探讨模同态广义逆在环模理论中的应用。

The influence of the electromagnetic properties of the axial magnetic bearing caused by non-magnetic metal ring using eddy current theory and finite element method has been studied .

文中从涡流理论和有限元分析这两方面，对轴向磁路中的非导磁支承环对轴向磁悬浮轴承电磁铁性能的影响进行了理论分析。

This paper deduced the formulae to calculate the parameters of shotcreting and bolting in three types of surrounding-rock - loosened ring individually from the theory of surrounding rock loosened ring .

以围岩松动圈理论为依据，分别对三类围岩松动圈的巷道围岩全长胶结锚杆的锚喷支护参数进行了公式推导及计算。

In this article , some applications of the Chinese remainder theorem are given in the number theory , polynomial ring , commutative ring and valuation theory .

本文给出了孙子定理在数论、多项式环、一般可换环及赋值论中的若干应用。

The fuzzy uniformization of fuzzy topological ring is an important problem in the fuzzy topological ring theory .

模糊拓扑环的模糊一致化问题是模糊拓扑环理论中的一个重要问题。

The blank design method for ring with rectangle cross section is derived based on the ring rolling theory and practical experience .

基于环件轧制理论和实践经验，提出了矩形截面环件和外台阶截面环件的毛坯设计新方法，给出了具体的毛坯设计方案。

In this paper , it is proved that if A is a indecomposable coherent semilocal ring , and every principal ideal has finite projective demension , then A is a GCD . by using homological method combined with method in ring theory .

本文采用同调代数与环论相结合方法证得定理：若A是一个不可分的凝聚半局部环，且每个主理想有有限投射维数，则A是最大公因子整环。