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Using the main result, we also obtain a simple criterion to check if a given C(superscript *)-algebra A is Abelian, that is, A is Abelian if and only for any two positive elements a, b∈A, there is a'∈A such that ab=ba'.

利用文中的主要结论,还得到了判断C-代数A是交换一个简单条件,即A是交换的当且仅当对A中的任何两个正元a,b存在a'∈A使得ab=ba'。

Using the main result, we also obtain a simple criterion to check if a given mathrm C^*-algebra A is Abelian, that is, A is Abelian if and only for any two positive elements a, bin A, there is a'in A such that ab=ba'.

利用文中的主要结论,还得到了判断 mathrm C^*-代数 A 是交换一个简单条件,即 A 是交换的当且仅当对 A 中的任何两个正元 a, b 存在 a'in A 使得 ab=ba'。

Group is an important concept in Modem Algebra. Viewed from a different angle it may be divided into two different categories: finite group and infinite group; and Abelian group and non-Abelian group.

群是《近世代数》的一个重要概念,从不同的角度出发,群可以分为有限群和无限群两大类,又可以分为交换群和非交换群两大类。

This is the field of abstract algebra .

这是抽象代数领域。

This situation is much like that of the mathematics student trying to understand abstract algebra.

这种情况很像当年的学生在了解数学抽象代数。

The concepts of variable, function and their application are the kernels of algebra abstract thought.

变量和函数的观念及其运用又是代数抽象思维中最核心的部分。

A abstract algebra group composed of one element is the highest abstraction of the mathematical models researched in this paper.

一阶的有限群是对本文研究的初等代数运算描述的数学模型的最高形式的抽象。

The theory of group: This is one of the most oldest and richest branches of abstract algebra.

二。群论:群论是抽象代数学里发达最早而内容最丰富的一个部门。

Algebra abstract thought is a typical pattern of psychological activity of human cognition.

代数抽象思维是人类认知的一种典型的心理活动方式。

The students in a topology course should have some knowledge of mathematical analysis and abstract algebra.

拓扑学要求学生具备一些数学分析和抽象代数的基础。

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Algebra
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