查询词典 quotient ring

At the same time, some properties of rough Set in quotient ring are given and proved. The fifth chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in Semigroups, the concept of rough primary ideals and fuzzy rough primary ideals in semigroups are introduced. Under the condition of the complete congruence relation, a rough set of a primary ideal in semigroups is proved to be its primary ideal.

同时，在商环中讨论了粗糙集的一些性质，并给出这些结论的严格证明；第五章是半群中的粗准素理想和粗模糊准素理想，首次提出了半群中的粗准素理想与粗模糊准素理想的概念，证明了在完备同余关系下，半群中准素理想的粗糙集是准素理想。

Suppose OE is any Dedekind ring, E isthe quotient field of OE, we give a necessary and sufficient condition for an ideal inOE generating a Carmichael ideal in L .

我们给出了OE中的理想在L中生成Carmichael理想的充分必要条件。

Correspondingly, the concept of fuzzy regular semiideal is introduced and the correspondence theorems of fuzzy regular semiideals and the isomorphism theorems of fuzzy regular quasi-quotient rings are established under ring homomorphism.

相应地，我们引入了模糊正则半理想概念，建立了环同态下模糊正则半理想的对应定理以及模糊正则拟商环的同构定理。

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。

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。

Let G be a finite group, ZG its integral group ring and Δ~n the nth power of the augmentation ideal Δ, denote Q_n=Δ~n/Δ~ n+1 the augmentation quotient group s of G.

对任意有限群G的整群环ZG，设Δn是ZG的n次增广理想，记Qn=Δn/Δn+1为G的增广商群。

First Hospital of Ningbo City, they also donated 80 sets of "China quotient ring."

宁波市第一医院还给他们赠送了80套"中国商环"。

Kenya Medical and Dental Medical Officer Queensland registered Awori M.D. Court graduation ceremony in the excitement, said:"I will certainly put a simple 'China quotient ring' circumcision technology into Africa, the land of Africa for the prevention of epidemic of AIDS, to save more lives and families, to promote the development of the local community make a positive contribution."

肯尼亚医学和牙医委员会注册医务官昆庭·阿沃里医学博士在结业典礼上激动地表示："我一定把简单易行的'中国商环'包皮环切技术引入非洲，为预防非洲大地上肆虐的艾滋病，挽救更多的生命和家庭，促进当地社会发展做出积极贡献"。

Assuming R be a semiprime ring with extended centroid C and Q be the maximal right quotient ring of R, f be a noncentral multilinear polynomial over C.d and δ are derivations of R.

给出了，假设R是带有扩张形心的半素环，Q 为R的极大右商环，f是R的扩张形心C上的非中心值的多线性多项式。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。