查询词典 general algebra

The quantum deformation of a Lie algebra is obtained by adding one parameter q,which is reduced to the original Lie algebra when taking the limit q→1;some properties of the original Lie algebra remain.

在Hopf代数或量子群理论中，构造李双代数的量子化是产生新的量子群的一个十分重要方法，研究李双代数的重要目的之一就是对其量子化。

According to the rough structure and algebra structure, the main work is to study the application of rough set theory on algebra system-groups and rings in this thesis. So that rough algebra system is built better perfectly.

本文根据粗糙结构和代数结构，研究了粗糙集理论在代数系统——群、环上的应用，以此建立比较完善的粗糙代数系统。

In this paper,the main work is to extended the premitive model of rough sets;Accorting to the Rough structure and algebra structure,the main work is to study the application of rough set theory on algebra system-group,so that rough algebra system is better perfectly.

本文在现有的Pawlak粗糙集模型基础上，对模型进行推广；根据粗糙结构和代数结构及已有的研究成果的基础上，更进一步地研究了粗糙集理论在代数系统一群上的应用，以此建立较为完善的粗糙代数系统。

First of all, the dissertation proves that the three structures are pairwisely isomorphic—the Boolean Algebra formed by the value range topological space, the Boolean Algebra by knowledge nodes, and the Boolean Algebra by data sub-classes. Thus the essential relations between the three Boolean Algebras are constructed. Furthermore, The three structures have the same multiplying mechanism.

首先，论文从理论上证明了由数值域拓扑空间形成的布尔代数、由知识结点集形成的布尔代数、和由数据子类结构集形成的布尔代数在结构上有两两同构的关系，从而建立了了这三者在本质上的联系，并且论证了它们具有相同的"繁衍"机制。

Keywords: Groebner basis; regular point; two-point algebra; radical square zero algebra; wild algebra

中文关键词： Groebner基；正则点；两点代数；根方零代数；野代数

In this paper, we discuss effect algebra and related topics. The main results are the following:1. Effect algebra is a commutative algebraic structure. To get a non-commutative algebraic structure.we introduced the concepts of left difference and right difference, and we also introduced the concept of the Bi-difference sets, the concept of pseudo-difference poset, and proved that pseudo-difference poset is equivalent to pseudo-effect algebra.

效应代数描述的是具有交换性的量子系统，我们借助于差运算的思想研究了不可交换的量子逻辑结构，建立了左差、右差、伪差偏序集、双差集等概念，证明了伪差偏序集与伪效应代数等价，并得到了双差集的幺半群表示定理。

Software Description: About Personal Algebra Tutor, Enter your problems into this algebra problem solver to view step-by-step solutions and explanationsto basic algebra through pre-calculus problems.

Personal Algebra Tutor 输入你的难题到这款代数题解答器观看分步式答案以及贯穿学习微积分前必修课程的注释说明。

In third part, I discussed R0 algebra in two different aspect:(1) Defined Boole element in R0 algebra. Gave the properties of Boole element and distributive rules of Boole element about finite R0 algebra. Study the filter and the stone filter of L are filters of M.

元的分布规律：研究了民代数M的滤子和民代数M作为有界分配格（记这个有界分配格为L（MO 的滤子之间的关系，得出结论：L的极小素滤子以及 L的 Stone滤子都是 M的滤子，但 L的滤子一般不必是M的滤子。

The study of lattice implication algebras On the basis of previous results of lattice implication algebras, we firstly studied some properties of implication filters, prime implication filters, maximal implication filters and ultrafilters. Then we laid stress on the study of two kinds of relatively general lattice implication algebras, i. e. complete and atomic lattice implication algebra and injective lattice implication algebra.

关于格蕴涵代数的研究本文在已有的格蕴涵代数研究结果基础上，首先研究了格蕴涵代数中蕴涵滤子、素蕴涵滤子、极大蕴涵滤子和超滤等的性质和相互的关系，然后重点较系统地研究了两类覆盖面较广的格蕴涵代数：完备的且原子的格蕴涵代数和内射的格蕴涵代数。

Proceed from general conclusion of algebra on the finite field, study this special algebra system of Elliptic Curve on the finite field, Discuss that sets up several theories of the Public Key Cryptosystems and the problems of implementation on it.

从有限域上的代数的一般结论出发，研究有限域上的椭圆曲线这一特殊的代数系统，讨论在其上建立公钥密码体制的若干理论和实现问题。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。