代数

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'。

From the view of the number of composition series and table subset of order or elementary abelian table algebra is depicted by making use of fundamental theorem on homomorphism of table algebra.

分别从合成列及表基的p阶、阶表子集的数目角度刻画了初等abelian表代数。

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。

At last,let Ibe an Abelian integral of ω over δ.

设H是n+1次实多项式，f，g为至多n次的实多项式，记〓为使实代数曲线H=h有一个紧分支〓的所有h之值的集合，〓为多项式1-形式。

Often, the characterizations of such linear preservers imply that they are algebric isomorphisms or algebric anti-isomorphisms, and therefore reveal the connection between the inherent properties of operator algebras and linear maps on itself. This makes one know and understand operator algebras more deeply.

其研究结果表明，在许多情形下，这样的线性映射是代数同态或代数反同态，从而揭示了算子代数的固有性质以及与其上线性映射的联系，使人们进一步加深对算子代数的认识和理解。

The concept of a Bollean algebra was first proposed by the English mathematician George Boole in 1847.Since that time,Boole's original concept has been extensively developed and refined by algebraists and logicians.

布尔代数的概念最初是有英国数学家George Boole于1847年提出来的，从那时起，代数学家和逻辑学家们更广泛的发展了Boole的这一其实概念，并使之更加精练。

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。

3 1 X*{! g5 C+ X K The concept of a Bollean algebra was first proposed by the English mathematician George Boole in 1847.Since that time,Boole's original concept has been extensively developed and refined by algebraists and logicians.

L， a3 M+* O； _6 M 布尔代数的概念最初是有英国数学家George Boole于1847年提出来的，从那时起，代数学家和逻辑学家们更广泛的发展了Boole的这一其实概念，并使之更加精练。

Mr Derbyshire, whose bookhas just been published in Britain after appearing in America last year, givesan intriguing account of these developments, and of the mathematiciansinvolved, such as George Boole, who "married algebra to logic" by inventingalgebraic ways to express logical arguments: he led an almost saintly life, butdied after his wife treated him for a chill by dousing him in buckets of icywater.

德比夏尔的这本书去年在美国出版，紧接着现在又在英国上市。书中对代数学的发展和历史上的数学家做了生动有趣的描述。例如乔治·布尔，他把&代数嫁给了逻辑&，用代数的方式表达逻辑参数。乔治·布尔一生圣洁，但是却死于他妻子淋头而下的冰水所致的风寒。

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。