查询词典 algebraic algebra

The algebra of quaternions, the first noncommutative algebra was thus suddenly born.

它们对应的一般代数分别是正则双Stone代数、预粗代数和半简单Nelson代数。

AF C*-algebra is the self-adjoint limit algebra, so it has relatively complex structure.

AF代数是自伴的极限代数，因而结构比较复杂。

For example, the set algebra for the set T defined above corresponds to a Boolean algebra of 32 elements.

例如，上文定义的集合的个元素集合代数就对应一个有32个元素的布尔代数个元素的布尔代数。

High School: Algebra, Geometry, Advanced Algebra, Trigonometry, Pre-Calculus conics and limits

高中：代数，几何，高等代数，三角学，微积分先修课二次曲线论和极限

High School: Algebra, Geometry, Advanced Algebra, Trigonometry, Pre-Calculus

高中：代数，几何，高等代数，三角学，？圆锥和极限

In chapter 1, we introduce the notions of the approximately 2-local automorphisms, the approximately local Hilbert space representations and the approximately 2- local Hilbert space representations;We prove that every surjective and multiplicative approximately local *-automorphisms of a C*- algebra with a unique faithful tracial state is *-automorphisms;surjective approximately 2- local *- automorphisms of C*-algebra with unique faithful tracial states are Jordan *- automorphisms;Surjective approximately 2- local *- automorphisms of a finit factor are *-automorphisms;Approximately 2- local *- automorphisms of M_n are *-automorphisms.

第一章定义了近似2—局部自同构，近似局部表示，近似2—局部表示；证明了有唯一忠实迹态的C~*-代数上的满可乘近似局部*—自同构是*—自同构，满近似2—局部*—自同构是Jordan *—自同构，有限因子上的满近似2—局部*—自同构是*—自同构，以及矩阵代数M_n上的近似2—局部*—自同构是*—自同构。

The concept of congruence is an important content of the universal algebra and congruences play a fundamental role in defining the structure and properties of the universal algebra.

同余是泛代数的重要研究内容，泛代数上的同余在一定意义上能够刻画和确定泛代数的结构和性质。

The verification theories and algorithms of value-passing CCS and the π-calculus bisimulation equivalences are the hot point of research in the area of process algebra, and the critical step for the application of process algebra in practice.

传值CCS和π-演算互模拟等价的验证理论和算法是进程代数领域的研究热点，也是使进程代数从理论研究走向实际应用的关键环节。

Suppose G is a finite group, then QG is a semisimple Q-algera, obviously ZG is a Z-order of QG,we denote the maximal Z-order by ?.If G is not abelian, it is not an easy thing to determine г; if G is an abelian group, then QG is isomorphic to the direct sum of a finite number of number fields, and r is the direct sum of these rings of algebraic integers of those number fields, but which elements of QG belong to r is not clear.

设G是一个有限群，那么QG是一个半单代数，ZG是QG的一个Z-序，设Γ是QG的一个极大Z-序，当G是一个非交换群时，Γ的求解是困难的问题；当G是一个交换群时，QG同构于有限多个数域的直和，Γ相应的就是各数域代数整数环的直和，但Γ具体是QG中那些元素不清楚。

This book provides an introduction to abstract algebraic geometry using the methods of schemes and cohomology.

代数几何学是数学中的重要分支之一，编码理论则是起源于工程技术的应用数学分支，本书是研究这两个分支的完美结合――代数几何码的一本专著。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48