代数

In this paper, the mutual relations of these additional conditions are investigated systematically and clarified. It is proved that each one of these conditions implies distributivity. Furthermore, the mutual relations of normal residuated lattices, subnormal residuated lattices, BL-algebras and sub-BL-algebras and that they are all distributive lattice are known.

本文系统研究并弄清了这些附加条件相互之间的关系，证明了它们中的每一条都蕴涵着分配性，从而知道了正规剩余格、次正规剩余格、BL-代数、次BL代数相互之间的关系，并且它们都是分配格。

Based on the partition of equivalent classes,the resolving of a linear system of equations and the calculation of the dual basis of the standard basis,three methodologies are presented.

以此解释了Rijndael算法S盒代数表达式复杂度低的本质原因，给出其分量函数间等价关系的一种直接证明方法。1 引言插入攻击[1]对代数次数和复杂程度低的分组密码尤其凑效。

Semilattice graded weak Hopf algebra is a special case of weak Hopf algebra and a generalization of Hopf algebras, in Section 1.3, we will give results and applications to the Maschke's and Dual Maschke's Theorem of semilattice graded weak Hopf algebra.

尽管有限Clifford幺半群的量子偶确实是有限群量子偶的一个推广，但是[L2]中的量子偶一般情况下是不能够看作是Hopf代数量子偶的一个推广，这是因为我们在[L2]中要求所有讨论的弱Hopf代数都是交换的。

As the objects on which multi-valued modular algebra operation is imposed usually are multivalued signals, so are the operation results. Application of ternary edge-triggered flip-flops makes us be able omit extracoding circuits in timing circuits.

由'J'多值模代数中的两个基本运算的作用对象和运算结果均为多值信号，所以它的应用避免了以往在采用基｝POOI代数的三值触发器时，由于输入、输出信号不匹配而必须增加附加编码电路的问题。

This paper discussed the matrix of elementary transformation in the higher elementary algebra linear algebra and number theory in wide use.

本论文主要讨论了矩阵的初等变换在高等代数线性代数以及初等数论中的广泛运用。

This paper focuses on a matrix of elementary transformation in higher algebra, linear algebra and number theory in the elementary extensive use.

本论文主要论述了矩阵的初等变换在高等代数、线性代数以及初等数论中的广泛运用。

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。

In section one, we introduce some background of the topic, in section two we review some basic and recent results about the structure and hierarchies of the computably enumerable degrees which are closely related to our topic- the algebraic structure of the plus cupping Turing degrees, in section three, we outline the basic principles of the priority tree argument, one of the main frameworks and tools of theorem proving in computability theory, and in section four, we prove a new result concerning the algebraic structure of the plus cupping Turing degrees that there exist two computably enumerable degrees a, b such that a, b ? PC, and the join a V b of a and b is high.

度结合为0′。本篇论文分为4个部分：第一部分介绍了这个领域的一些背景知识；第二部分主要回顾了前人在研究可计算枚举度的结构和层谱时所取得的一些基本和最新结果，这些结果与我们的主题—加杯图灵度的代数结构密切相关；在第三部分中，我们概要的描述了优先树方法的基本原理，此方法是可计算性理论中定理证明的一个重要框架和工具；第四部分证明了一个加杯图灵度代数结构的新结果：存在两个可计算枚举度a，b，满足a，b∈PC，而且a和b的并a∨b是一个高度。

In [3], Kassel gaveHopf *-algebra structures on GL_q(2) and SL_q (2), and also described those on thequantum enveloping algebra U_qsl(2 in detail.

Kassel在[3]中给出了GL_q(2)和SL_q(2)上的Hopf *-代数结构，并且对量子化包络代数U_q sl

Quantum mechanical control; symmetry; Lie algebra; universal enveloping algebra; representation theory

清华大学；吴热冰量子力学控制；对称性；李代数；泛包络代数；表示理论

And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时，论述了一体化管理体系构建中的几个主要问题，包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。