1)simple ring单环
1.In this paper the main results are following theorems: (1)A prime ring is a primitre ring, asimple ring with unit or a division ring, respectively, if and only if there exists its ideal which is aprimitre ring, a sinple ring with unit or a division ring.本文给出了判断本原环，有单位元的单环和除环的充分必要条件，主要结果见定理１—７。
2.The aim of this note is to show the following:If all maximal left ideals of R are conjugate,then so are all maximal left ideals of matrix ring Rn×n,moreover,R is a local ring or R/J is a simple ring,where J is the Jacobson radical of R.本文证明了：如果Ｒ的所有极大左理想都共轭，则ｎ阶矩阵环Ｒｎ×ｎ也有同样的性质，并且Ｒ是局部环或Ｒ／Ｊ是单环。
3.Using the properties of the ideal of the ring theory,we obtain a sufficient condition of a simple ring to be a division ring and its corollary,and with the weaker inverse proposition of Lagrange s theorem in the group theory,we get the conclusion that the group without proper subgroup must be a finite group of prime order.运用环论中理想的性质,得到单环为除环的一个充分条件及其推论,同时运用群论中Lagrange定理的较弱逆命题,推出没有真子群的群必为素数阶有限群的结论;进一步综合所得结果,得到交换单环的一个分类,即交换单环要么是域要么是基数为素数的零乘环。
英文短句/例句
1.N-semisimple rings,Noether N-semisimple rings and some special rings;N-半单环、Noether N-半单环和几类特殊环
2.Kingsbury thrust bearing单环平衡式推力轴承单圈推力轴承
3.single-loop feedback单(闭合)环路反馈
4.single-hook ring鼻形环, 单钩刮油环
5.single-shot operatio单步操作 -单脉冲或单循环
6.uniaxial stress and temperature cycling test单轴应力-温度循环试验
7.loop mono rail twin block hoist环形单轨双葫芦吊车
8.single frequency argon ion ring laser单频氩离子环形激光器
9.LD Pumped Monolithic Non-Planar Ring Resonator Single Frequency LasersLD抽运单块非平面环形腔单频激光器
10.Oh, a giant circle! A single arm circle!哇，一个大回环，还是单臂大回环呢？
11.The Residue Class Rings of 2 Order of Nonidential Elements in Identital Groups U(Z_n)单位群U(Z_n)里非单位元的阶都是2的剩余类环
12.We base ourselves on environmental protection and enthusiasm, Shanghai Environmental Protection Industry Association units and intelligence units in the first batch of Shanghai environmental governance industry.我们立足环保、衷环保，是上海市环境保护产业协会会员单位和上海环境治理行业首批资质单位。
13.Study of the Ring-opening Polymerization of Cyclic Monomers Catalyzed by Immobilized PPL Nanoparticles;固定化酶催化环状单体的开环聚合研究
14.Torsion Fatigue Behavior of Unidirectional Carbon/Epoxy and Glass/Epoxy Composites单向碳/环氧和玻纤/环氧复合材料扭转疲劳性能
15.Preparation of Cyclohexene from Cyclohexanol by Dehydration Using I_2/C as a Catalyst活性炭负载单质碘催化环己醇脱水制环己烯
16.Comparison Between Single-ring Type and Double-ring Type Sealing Oil System of Generator发电机单流环式和双流环式密封油系统比较
17.Selection of Circulating Water Cooling Mode for Power Plants with Single Cycle GasTurbines燃机单循环电厂循环水冷却方式的选择
18.For loop control variable must be simple local variableFOR循环控制变量必须为简单局部变量
相关短句/例句
single-loop单环
1.Study on the linearization of single-loop feedforward power amplifiers;前馈单环功率放大器线性化技术的研究
3)τ-weak semisimple ringτ-弱单单环
4)monocyclic monoterpene单环单萜(烯)
5)monocyclic naphthenes单环环烷烃
6)uniaxial cycling单轴循环
延伸阅读
单环单环simple ring 单环f咖沙对皿峨;即ocTOeKO糊0] 含有不止一个元素，除了0和整个环，没有其他双侧理想(i击川)的环.有单位元并含极小单侧理想的结合单环同构于某个除环上的矩阵环.亦见结合环与结合代数(associati记田1邵and al罗b秘).若不假设单位元的存在，这样的环是某个除环D上的局部矩阵环，即环的每个有限子集包含在一个与D上矩阵环同构的子环内(见「21).存在不同于除环的无零因子单环(甚至是N Oetller单环，亦见N议川阮r环(N6e-tl~ring))，也存在有零因子而无幂等元的Noet】ler单环(【3〕).同时是N.Jac。玩on意义下的根的单环也被发现(见11〕).可是，诣零单环的存在性问题尚未解决. 交错单环的结构描述归结到结合情形(见交错环与交错代数(alternatiVe rul邵andal罗bn巧)).亦见单代数(s朋Ple al罗bn飞)，
