循环模,cycle module

1)cycle module
循环模
1.
Every vector space can be described as a direct sum of the cycle modules over the polynomial ring F[s] .
将数域F上n维向量空间视为数域F上多项式环F[s]上的模,给出了向量空间的模结构分解,指出任一数域上的向量空间都可表示为若干多项式环上循环模的直和形式,特别讨论了复数域和实数域上向量空间的分解情形,引入了变换(或矩阵)的特征值对应的生成根向量的定义,得到了循环模的生成元与变换的生成根向量之间的关系。


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2)cyclic module
循环模
1.
In this paper we make a brief discussion on whether or not a one-sided ideal composition series is still a modular composition series when a cyclic module acts on it.
就单边理想合成列在循环模作用后是否为合成列进行了简单地讨论 ,找到了不成立的反例 ,从而说明了单边理想合成列在模作用后一般不为合成列 。


2.
In this paper,it is shown that for an R- module M the following are equivalent: \ \ (ⅰ)\ M is locally artinian; \ \ (ⅱ)\ every cyclic module in σ M is a direct sum of a self-projective M- injective module and a finitely cogenerated module.
证明了对于Ｒ－模Ｍ如下条件等价：（ⅰ）Ｍ是局部Ａｒｔｉｎ的；（ⅱ）σ〔Ｍ〕中每个循环模是一个自投射的Ｍ－单射模和一个有限上生成模的直和。


3.
The structure of U b Γ cyclic module for quantum groups of the rank 1 is also shown.
证明了量子群有限维表示具有好滤过的上同调条件；给出了秩１量子群关于ＵｂΓ循环模的结


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3)Cycle Simulation
循环模拟
1.
The Application of Cycle Simulation in the Variable Geometric Intake Design;
循环模拟技术在可变长度进气管设计中的应用


2.
A Study on Cycle Simulation and Performance Optimization for CG125 Motorcycle Engine;
CG125摩托车发动机循环模拟与性能优化研究


3.
Based on cycle simulation, the effects of the VVT mechanism structural parameters, control parameters and operational parameters on the engine performance were analyzed by embedding the VVT mechanism operational mode and control strategies in the engine cycle simulation.
以发动机工作过程循环模拟为基础,通过嵌入VVT机构运行模式和控制策略的系统参数,分析了VVT结构参数、控制参数、以及相应运转参数对发动机性能的影响,对VVT系统高速和低速工况的进气迟闭角、气阀升程、切换转速等参数进行了优化设计。


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4)engine cycle simulation
循环模拟
1.
According to the obvious problem of the turbocharged diesel engine cycle simulation, a commonused and useful simulation program for turbocharged diesel engines has been developed.
针对涡轮增压柴油机循环模拟技术存在的突出问题,从通用性和实用化的角度出发,开发了一套通用性很强的涡轮增压柴油机循环模拟程序。


2.
The modular structure design and realization for turbocharged diesel engine cycle simulation program have been studied and stated in detail in this paper.
对涡轮增压柴油机循环模拟程序模块化结构的设计与实现进行了详细的研究和论述。


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5)cyclic model
循环模式
1.
On the basis of the theory, the author put forward four cyclic models of high efficient utilization of agricultural waste resources (including crop stalk).
阐述了食用菌对农业废弃物的循环利用状况 ,根据食用菌和农作物二者的生态学特性 ,分析了作物与食用菌在光照、通气、营养条件等方面形成的互补互促关系 ,并提出高效利用作物秸秆等农业废弃物的四种生态循环模


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6)cycle model
循环模式
1.
Aiming at the importance of urban water environmental quality in the urban ecological environment,the cycle model of urban water resources was illustrated.
针对城市水环境质量在城市生态环境中的重要性,论述了城市水资源循环模式,以邯郸市城市生态水网工程为例,分析了目前生态水环境存在的问题,并探讨了北方城市水环境的规划、修复和生态利用。


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补充资料：循环模


循环模
cydic module

循环模【。心icnl回川e冲脚期侧“拍晦M卿对刀‘]，环R上的(左) 同构于商模R/I的左模，I是R的某个左理想.特别地，不可约模是循环模.与循环模相关的有K乃the间题(K汤the Pr oblem)(见[41):什么环上任一模(或有限生成模)都同构于循环模的直和?在交换环类中，这种环恰为户Jtin主理想环(见【11，131).对于其上每个有限生成模都是循环模的直和的交换环也已有完全的刻画([21).

说明：补充资料仅用于学习参考，请勿用于其它任何用途。

循环模,cycle module