查询词典 complementary ideal

By local-integral ideal, this paper gets that whether a congruence equation has solutions determines a decomposition of a prime ideal of K in its extension.

具体地说：多项式在局部域上的分解情况决定了M的素理想在其扩域上分解形式。

Finally, it shows that R is von Neumann regular ring if and only if every right .R-module is right pm-injective if and only if every right principal right ideal of R is right pm-injective if and only if every essential right ideal of R is right pm-injective. Furthermore, some good properties are obtained.

最后，得到R是von Neumann正则环当且仅当每个右R-模是右pm-内射当且仅当R的每个主右理想是右pm-内射当且仅当R的每个本质右理想是右pm-内射，以及其他诸多好的性质。

It is shown that let R be right nonsingular AGP-injective rings, if R be right CF rings and every right principal ideal is two-side ideal, then R is Von Neumann regular ring.

证明了设R是右非奇异右AGP-内射环，如果R是右CF-环且每个主右理想都是双边理想，则R是正则环，其次，讨论了右AGP-内射环的非奇异性。

Finally, some properties of rough set in quotient group are given and proved. The fourth chapter is the Roughness of Ring based on Ideal, a rough subring with respect to a ideal of a ring is discussed, and some properties of the lower and the upper approximations in a ring are studied.

最后，在商群中讨论了粗糙集的一些性质，并给出这些结论的严格证明；第四章是基于理想的环的粗糙，对一个环的子集关于理想的粗糙近似子环作了探讨，并研究了一个环的上、下近似的性质。

This dissertation involves the study of the growth dynamics of colloidal particles under unequilibrium and irreversibility condition. Firstly, it is of interest to investigate whether the ideal diffusion or reaction-limited aggregation universal behavior can be observed for the initially polydisperse practical system of basic yttrium carbonate as well. The fractal structure of basic yttrium carbonate aggregate cluster was observed using transmission eletron microscopy. The aggregation kinetics of basic yttrium carbonate colloids was studed using dynamic 1ight-scattering techniques. At 1.00mol/l NaCl solution the fast diffusion-limited aggregation behavior was observed with an increase in the aggregate size over time described by a power law. The aggregates are characterized by a fractal dimension D=1.82. The disordered and ramified cluster is consisted of primary colloidal particles and tenuous and more open. These are in good agreement with those observed for other colloidal system such as colloidal gold (1.86), silica (1.85) and polystyrene latex (1.82) in diffusion-limited aggregation from the static and dynamic light scattering by Lin. Therefore ideal diffusion-limited aggregation behavior can be observed in practical polydisperse system as well. Smoluchwski and fractal theories were used to obtain the aggregation rate constant for initially polydisperse system for the first time.

本论文研究胶粒的非平衡不可逆聚集动态学，分为两个部分，第一部分是通过实验研究一个新的初始多分散的碱式碳酸钇胶粒实际体系中，聚集标度性质的普适性，即使用透射电子显微技术观测聚集粒子簇的分形结构，使用动态激光光散射研究碱式碳酸钇胶粒的聚集动力学，胶粒带电而产生静电排斥作用使得碱式碳酸钇胶粒处于稳定状态，当加入电解质NaCl溶液时，碱式碳酸钇胶粒间的Debye-Hückel屏蔽距离缩短，从而降低静电排斥能垒，引起胶粒发生不可逆聚集，加入电解质NaCl的浓度为1.00mol/l时，碱式碳酸钇胶粒进行快速聚集，经历扩散控制聚集机理，形成结构疏松、更为开放的分形聚集粒子簇，其分形维数为1.82，碱式碳酸钇胶粒聚集增长动力学遵循幂函数增长规律，与Lin等使用静态激光光散射和动态激光光散射测量硅胶(1.85)、金胶(1.86)和聚苯乙烯胶乳(1.82)在扩散控制聚集状态形成聚集粒子簇的分形维数值以及粒子簇聚集增长的动力学规律相一致，表明胶粒聚集标度性质的普适性质在初始多分散的实际体系中也是存在的，首次由动态激光光散射的实验数据得到初始多分散胶粒分形粒子簇的聚集速率常数，并且其值与Smoluchowski聚集速率理论预期相符。

Rational planar curve; rational space curve; rational ruled surface; moving curve/surface;μ-bases; singularity; self-intersection curve; moving curve/moving surface ideal; ideal-theoretic/set-theoretic generators

基础科学，数学，几何、拓扑平面有理曲线；空间有理曲线；有理直纹面；动曲线/曲面；μ基；奇点；自交线；动曲线/动曲面理想；集论/理想论生成元

Tasting ideal, being tasting consciousness, which is the highest core tasting category, is a special form, which have been formed based on tasting principal part. The form existing in representational form incarnates abstract recapitulative ideal; and it is incarnating visualized modality.

审美理想作为审美意识中居于最高层次的核心的审美范畴，是审美主体在审美体验基础上形成的一种以具象性形式存在的、体现着抽象概括性的理想的特殊形态。

In the fist part, considering the game theoretical aspect of generalized Cohen's forcing C in dependence of ideal / on ω, Generalized a result of Sharp in Combinatorics on Ideals and Axiom A(The Journal of Symbolic Logic,1994), we argue that if J is a regular p*-ideal then C do not satisfy Axiom A.

第一部分通过讨论ω上的理想J的广义Cohen's力迫C的博弈论性质，我们推广了Sharp在论文Combinatorics on Ideals and Axiom A(The Journal of Symbolic Logic，1994)中的一个主要结果——如果U是一个超滤，则其对偶理想J=U~*所作成的广义Cohen's力迫C不满足力迫公理A，我们进一步证明了如果J是一个正则的p~*-ideal则C不满足力迫公理A。

Though the gyration and retroflexion of the workbench, the welding positioner can make the welding line to an ideal position, which can improve the quality of the welded joint, reduce welder's workload. It is ideal equipment especially fit to weld the kinds of workpiece, just like the shaft, tray, canister, and so on.

焊接变位机可水平翻转角度，通过工作台的回转及翻转运动使工件上焊缝处于最理想的位置进行焊接，从而大大提高焊缝质量，减轻焊工劳动强度，尤其是适合焊接各种轴类、盘类、筒体等回转工件的理想设备。

I know, some part of my choice departs from my ideal, and some part has been right on my ideal……Now I'm recieved by the university which I choiced and recieved by the major which I loved very much. But I ended up my three years of High School Studying Life.

我知道，我一部分被离了我的人生理想，一部分又紧紧锁在我的轨道上……我成功地录入了我填报的学校、成功地录入了我喜欢的专业，但是我却失败地结束了高中三年的学习生活。

The French are not suggesting a new EU treaty, but they have plenty of other wheezes.

法国人并不是在建议签署一个新的欧盟条约，但他们有许多其他的阴谋。

This letter was written by my brother.

这封信是我弟弟写的。