非交换的

Group is an important concept in Modem Algebra. Viewed from a different angle it may be divided into two different categories: finite group and infinite group; and Abelian group and non-Abelian group.

群是《近世代数》的一个重要概念，从不同的角度出发，群可以分为有限群和无限群两大类，又可以分为交换群和非交换群两大类。

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。

In the 20th century, the emphasis in mathematics has shifted from local to global considerations, from lower dimensions to higher dimensions, from commutativity to non-commutativity,and from linearity to non-linearity.

20世纪数学的重点从局部转移到整体，从低维转移到高维，从交换转移到非交换，以及从线性转移到非线性。

When G is not a commutative semitopological semigroup, Lau and Takahashi proved the ergodic theorem for right reversible semigroups of nonexpansive mappings by using the methods of invariant means.

而当G非交换时，Lau和Takahashi利用不变平均技巧，在假定G是右可逆，X具一致Frechet可微范数及RUC存在不变平均等条件下，给出了非扩张半群的遍历压缩定理。

In noncommutative scalar field theories, the appearing of nonplanar diagrams is related to permutation symmetry of field functions in the interaction Lagrangian, while in NCQED we can not arbitrarily change the positions of field functions in the interaction Lagrangian because different positions of the field functions correspond to different representations of the gauge group.

这里需要特别指出的是NCQED的非平面图产生的原因与非对易标量场根本不同，非对易标量场非平面图的产生是和相互作用拉氏量密度中场函数间位置的置换对称性有关，而在NCQED中我们不能随便交换相互作用拉氏量密度中场函数的位置，因为场函数的不同位置对应着规范群的不同表示。

We anew confirm every generated relation of non-commutative group of 16 orders by using Hlder, O.

通过群的同构分类的观点，分析了16阶非交换群的生成关系，并使用霍尔德定理、N/C定理及元素阶的分析，重新确定了16阶非交换群的生成关系。

Every homomrphic image of a noncommutative ring is a noncommutative ring .

非交环的同态像为非交换环。

Its main goal is to explore information in the K-theory groups of the index C*-algebras, the Roe algebras C*, by using the large-scale geometrical structure of proper metric spaces, including noncompact complete Riemannian manifolds, finitely generated groups, etc., so as to establish connections among geometry, topology and analysis of the geometric spaces, and furthermore, to solve other relating problems, say, the Novikov conjecture, the Gromov-Lawson-Rosenberg conjecture on positive scalar curvature, the idempotent problem in the theory of C*-algebras.

粗几何上的指标理论是"非交换几何"领域九十年代以来发展起来的重要研究方向，它孕育于非紧流形上的指标理论，其主要目标是通过几何空间（如非紧完备黎曼流形、有限生成群等）的大尺度几何结构探索指标代数，即 Roe代数，的K-理论群的信息，从而建立几何空间的几何、拓扑与分析之间的联系，并应用于解决其他重要问题，如Novikov猜测、Gromov-Lawson-Rosenberg正标量曲率猜测、群C*-代数幂等元问题等。

The new opinion and mechanism that the simultaneously adsorption of complex pollution of both organic and heavy metals will be achieved on soil modified with amphoteric surface modifying agent, which have both charged group and organophilic group on one ASMA molecule, were proposed at first time, and its rationality was testified at the same time; The 50% was the critical CTMAB modifying ratio of soil CEC at which the organophilic bond modifying mechanism was emerged; The thermodynamic characteristics of adsorption of OPT and HMP on OMS were discovered ; The study revealed the surface peculiarity of OMS that the modifying agent were distributed at uneven scatter mode and multi-characters surface were coexisted on surface of OMS, revealed the adsorption peculiarity of OMS that multi-mechanisms were coexisted, confirmed the unequal charge amount modifying mode of OMS in which dual-modifying mechanism of both ion exchange and OPB were processed at the same time, and confirmed that the adsorption hobby to CTMAB was higher than that to Ca2+ on Lou soil.

首次提出了用两性表面修饰剂对土壤进行修饰改性，利用两性表面修饰剂所具有的荷电基团和疏水基团达到对土壤中有机、重金属污染物同时吸附的思路和机理，并通过实验证实了所提设想的合理性；发现了土壤CEC值的50%修饰比例是CTMAB开始显现以疏水键机制对土土样表面进行修饰的临界点；揭示了有机修饰改性土对有机物、重金属吸附过程的热力学特征，填补了该项研究工作的空白；阐明了修饰剂在改性土表面呈分散态的非均匀分布，改性土表面具有不同性质表面共存的表面特征和对污染物多机制共存的吸附特征，确定了阳离子表面修饰剂在土表面的修饰是一种离子交换和疏水键结合两种机制相伴并行且为非等电荷量交换的修饰反应模式，以及土具有对CTMAB的吸附偏好性远大于对钙离子吸附偏好性的特征。

Soil potassium forms were gradated using the method of Jin Jiyun(1992),results showed: water soluble K、exchangeable K、non-exchangeable K、total K increased in the treatments of organic manure,and there were close relations between different potassium forms ,exchangeable K、 Non-exchangeable K and mineral K might transform each another.

按金继运(1992)确定的方法对土壤钾素形态进行分级，结果表明：施有机肥能增加土壤水溶性钾、交换性钾、非交换性钾、矿物钾及全钾含量。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。