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 循环模
 cyclic module
 Good Filtration of Finite Dimensional Representations and Cyclic module for Quantum Groups 量子群有限维表示的好滤过和循环模 短句来源 \ \ (ⅱ)\ every cyclic module in σ M is a direct sum of a self-projective M- injective module and a finitely cogenerated module. （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。 短句来源 \ \ If M is a direct sum of cyclic self-projective modules then (ⅰ) and (ⅱ) are equivalent to: \ \ (ⅲ)\ every cyclic module in σ M is a direct sum of an M-injective module and a finitely cogenerated module. 如果M是循环自投射模的直和，那么（ⅰ），（ⅱ）等价于：（ⅲ）σ〔M〕中每个循环模是一个M－单射模和一个有限上生成模的直和。 短句来源 In this paper, we give the Fundemantal Homomorphism Theorem of n-rings of the first class, then we prove that a abelian m-group M is a R(n)-module if and onty if there is a (n, m) ring homomorphism from R(n) to EndM, at Iast we characterise a m division ring with a cyclic module. 在[1]文中深入研究了m群,[2]文中定义了n环和R(n)-M_m~1范畴,本文继续研究n环,给出了n环的同态基本定理,(§1),证明了交换m群为n环R(n)上模当且仅当存在从R(n)到End的一个(n,m)环同态,最后利用循环模类刻划n除环。 短句来源
 “循环模”译为未确定词的双语例句
 Rings on which any Module Is a Direct Sum of Cyclic Modules 其上任一模都是循环模直和的环 短句来源 RINGS SATISFYING THE LIDUCTIVE CONDITION FOR HOMOMORPHIC CHAIN OF LEFT R-MODULES AND RINGS SATISFYING THE MINIMAL ELEMENT CONDITION FOR LEFT R-CYCLE MLDULES 满足R-左模同态链归纳条件的环及满足R-左循环模极小元条件的环 短句来源 Then the following conditions are equivalent: ( a) any R-module is a direct sum of cyclic modules, (b) R is a Artinian principal ideal ring. 那么下列等价:(α) R上任一左模都是循环模直和; (b) R是左Artin主理想环; 短句来源 In this paper, We use the inductive Condition for homomorphic Chain of Left R-modules improve and generalize the results in. Discuss the relation between nil property and approximate nilpotent property ,and introduce the Concept of Baer subset,give some sufficent and neccessary conditions for the Baer radical of R contains every nil one-sided ideal of R. 本文利用R—左模同态链归纳条件和R—左循环模极小元条件改进并推广了[2]中的结果,讨论了诣零性和近似幂零性的关系,并引入Baer子集的概念,给出了环R的Baer根包含R的每个诣零单侧理想的几个充要条件。 短句来源 We report an observation of optical phase conjugate in LB films of pure purple membrane for the first time. The dependence of intensity of the optical conjugate wave upon the total incident intensity has been deduced, based on the simplified model of 首次报道了在纯紫膜LB膜中实现光学相位共轭输出的实验现象,并在理论上从简化的菌紫质分子光循环模出发,导出了共轭光强度与总入射光强度之间的关系,最后用拟合方法求得这种紫膜LB膜的饱和吸收强度为0.49W/cm~2,bR分子处于中间体M(410)上的寿命为2.5ms左右. 短句来源
 相似匹配句对
 The System Archetype Analysis of Circular Economy Eco-system 循环经济生态系统的系统基模分析 短句来源 The Doming cycle “Deming”循环 短句来源 Rings on which any Module Is a Direct Sum of Cyclic Modules 其上任一模都是循环模直和的环 短句来源 RECYCLE 循环再利用 短句来源 On n-P-Injective Modules n-P-内射模 短句来源

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 cyclic module
 Rings for which every cyclic module is quasi-projective It is shown that the little finitistic dimension of a finite dimensional algebra, i.e., the supremum of the finite projective dimensions attained on finitely generated modules, is not necessarily attained on a cyclic module. In fact, for each integerd>amp;gt;-3, there exists a quiver Γ with a set ρ of paths such that the little finitistic dimension of the finite dimensional algebrakΓ/>amp;lt;ρ>amp;gt; is attained on a cyclic module precisely when |k|≥d. We establish a criterion for the cyclic module Rp,q/Rp,qf to be Noetherian, where f is homogeneous of degree 1. We define a version 'at roots of unity' of the cyclic homology of a cyclic module and prove that it is isomorphic to its usual cyclic homology. 更多
 cycle module
 Thecarbon cycle module explicitly treats the nonlinear sea watercarbon chemistry and the nonlinear CO2 fertilized biosphereuptake. The widely known SOILN (SOIL Nitrate model) is the basis of nitrogen cycle module. Life Cycle module manages the life cycle of agents in the Agent Pool.
 This paper gives the definition of P-hereditary ring and discusses the necessary and sufficient condition about the submodule closure of cyclic module. The condition is as follows: every submoule of cyclic R-module is also a cyclic module if and only if R is a cyclic-hereditary ring. 本文给出P—遗传环的定义及循环模的子模闭的充要条件。每一循环R—模的子模仍为循环模的充要条件是:R是循环—遗传环。 In this paper we have studied the rings on which any module is a direct sum of cyclic modules. The main conclusion is Theorem: Let R be a double ring. Then the following conditions are equivalent: ( a) any R-module is a direct sum of cyclic modules, (b) R is a Artinian principal ideal ring. (c) R is Noetherian and, for any ideal Iof the ring R/ I is self-injective. 本文在双环的前提下,用任一模都是循环模直和这一模特征,对某类环进行了完全刻划.得到了主要定理:设R是有1的双环.那么下列等价:(α) R上任一左模都是循环模直和;(b) R是左Artin主理想环;(c) R是左Noether环,并且对R的任一理想I,R/I是(左) 自内射环.并且还进一步得到,一个环如果是局部环直和,那么上述(C)成立蕴含着这个环一定是双环. In this paper, We use the inductive Condition for homomorphic Chain of Left R-modules improve and generalize the results in. Discuss the relation between nil property and approximate nilpotent property ,and introduce the Concept of Baer subset,give some sufficent and neccessary conditions for the Baer radical of R contains every nil one-sided ideal of R. 本文利用R—左模同态链归纳条件和R—左循环模极小元条件改进并推广了[2]中的结果,讨论了诣零性和近似幂零性的关系,并引入Baer子集的概念,给出了环R的Baer根包含R的每个诣零单侧理想的几个充要条件。 << 更多相关文摘
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