- 更多网络例句与非交换环相关的网络例句 [注：此内容来源于网络，仅供参考]
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Suppose G is a finite group, then QG is a semisimple Q-algera, obviously ZG is a Z-order of QG,we denote the maximal Z-order by ?.If G is not abelian, it is not an easy thing to determine г; if G is an abelian group, then QG is isomorphic to the direct sum of a finite number of number fields, and r is the direct sum of these rings of algebraic integers of those number fields, but which elements of QG belong to r is not clear.
设G是一个有限群，那么QG是一个半单代数，ZG是QG的一个Z-序，设Γ是QG的一个极大Z-序，当G是一个非交换群时，Γ的求解是困难的问题；当G是一个交换群时，QG同构于有限多个数域的直和，Γ相应的就是各数域代数整数环的直和，但Γ具体是QG中那些元素不清楚。
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A general method to show a commutative ring R with 1 to be not universal for GE〓 is presented.
给出了一种证明含1交换环R为非GE〓泛的环的较一般的方法。
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Let n ≥ 4 be a fixed integer, R be a unital commutative ring of characteristic not 2, and D_n be a D_n-type classical Lie algebra over R.
假设n是一个大于等于4的整数，R是特征非2的有单位元的交换环，D_n是环R上的D_n型李代数，N是D_n的一个极大幂零子代数。
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Other semirings arise naturally in such diverse areas of mathematics as combinatorics, functional analysis, topology, graph theory, Euclidean geometry, probability theory, commutative and noncommutative ring theory, optimization theory, discrete event dynamical systems, automata theory, formal language theory and the mathematical modeling of quantum physics and parallel computation systems.
在许多不同的数学领域存在着其它形式的半环，比如组合学，泛函分析，拓扑学，图论，欧式几何，概率论，交换和非交换环，优化论，离散动力系统，自动化理论，形式语言理论，量子物理的数据模型和并行计算系统。
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Using properties of zero-divisors, regular elements and subdirectly irreducible ring , we obtain some results on the commutativity of semi-prime ring and Jacobson semi-simple ring as follows 1 Let R be a semi-prime ring ,a∈R and 2a is not zero-divisor,If R satisfies one of the conditions in this paper , then R is commutative.
在某些特殊环的交换性方面取得了进一步的结果，并得到了一些新的结论，主要有一设R 为半质环，a∈R ，且2a 为非零因子，如果R 满足论文中八个条件之一，则可以证明环R 为交换环。
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Nonlinear control system; transfer function; differential vector space; noncommutative ring
非线性控制系统；传递函数；微分向量空间；非交换环
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Because of the nature of non-exchanging, the matrixon the division ring no longer possesses the usual Jordan canonical form, and themethods of partitioning, decomposition of the matrix appears to be particularlyimportant to our discussion.
因除环的非交换性，一般除环上的矩阵已不再具有通常的若当标准形，因此矩阵分块，分解手段对我们的讨论显得尤为重要。
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Due to the inspiration of maximal injective module by professor Wang Ming-yi, in chapter two, we introduce the conception of max-projective modules, discuss its properties, applications: the primitive relations between rings and endomorphism rings, an equivalence that is surrounding strongly V.N. rings.
受汪明义教授引进极大内射模概念的启发，在第二章中我们引进了极大投射模的概念，由此讨论了它的一些性质及其应用：环与自同态环之间的本原性关系；强正则环的一个等价刻划；并在环为交换和非交换的情形下分别应用有限表现模的极大投射性得出了SF环和Von Neumann正则环的关系。
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Every homomrphic image of a noncommutative ring is a noncommutative ring .
非交环的同态像为非交换环。
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In this paper the transfer function of noulinear control system is defined over a noncommutative polynomial ring, which can be extended into its quotient ring by Ore Theorem.
本文定义了非线控制系统的传递函数，这种传递函数定义在由一个非交换多项式环扩张而成的商环上用传递函数描述了非线性控制系统的三种基本联接：串联、并联与反馈。
- 更多网络解释与非交换环相关的网络解释 [注：此内容来源于网络，仅供参考]
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non-commutative local ring：非交换局部环
非交换局部化|non-commutative localization | 非交换局部环|non-commutative local ring | 非交换群|non-commutative group
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noncommutative group：非交换群
nonclosed group 非闭群 | noncommutative group 非交换群 | noncommutative ring 非交换环
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noncommutative ring：非交换环
noncommutative group 非交换群 | noncommutative ring 非交换环 | noncommutative valuation 非交换赋值
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noncommutative valuation：非交换赋值
noncommutative ring 非交换环 | noncommutative valuation 非交换赋值 | noncommuting operators 非交换算子
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non-commutative principal ideal domain：非交换主理想整环
非交换整环|non-commutative domain | 非交换主理想整环|non-commutative principal ideal domain | 非结合代数|non-associative algebra
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skew field：[数]体/(可)除环/非交换域
skew at /斜视/ | skew field /[数]体/(可)除环/非交换域/ | skewback /起拱石/拱座/
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topological simplex：拓扑单形
topological ring 拓扑环 | topological simplex 拓扑单形 | topological skew field 拓扑非交换域
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Commutative semiring：可除半环
格:commutative regular semiring | 可除半环:Commutative semiring | 非负交换半环:antinegative commutative semiring