查询词典 operator algebra

In the frame of deformation quantization, one deals with functions on the phase space, and the star product deforms the commutative classical algebra of observables into the noncommutative quantum algebra of observables.

在变形量子化理论中，物理量依然是函数形式，坐标以及动量的非对易性均体现在函数之间的乘积上。

We study the properties of BR0-algebra and the total complication triple I method on complete BR0-algebra, and we apply the results to R0-Unite interval W. Not only we have simplified the proof of the results of R0-type triple I method on R0-Unite interval W, but also we make the proof to combine with the formal deductive system for fuzzy propositional calculus. This work also explains that the R0-type triple I method is a matching fuzzy inference with B?

研究了基础BR0-代数的性质和基于完备基础BR0-代数的全蕴涵三I算法，对—般蕴涵算子给出了三I算法解存在的—个充分条件，并将结果应用于R0-单位区间W，不但极大的简化了R0-单位区间W的R0-型α-三I算法结果的证明，而且使其证明过程与相应的模糊命题演算系统结合起来，说明了R0-型三I算法是与B？

A quotient algebra of FI-algebra is established, whose properties are carefully studied.

给出了FI代数的简单性质及理想概念，建立了FI代数的商代数，并研究了商代数的性质，得到了一些重要的结

At last,it's proved that the equivalent class of sharp element is sharp element in the quotient algebra of a weak commutative pseudoeffect algebra gotten by normal Riesz ideals.

讨论了弱可换的伪效应代数商代数中可精确测量元与正规Riesz理想之间的关系。

It is shown that a fuzzy subset of a BCI algebra is an FSI ideal if and only if it is both an FSC ideal and a fuzzy BCI positive implicative ideal.2. A new class of quotient BCK/BCI algebras and a new class of bounded quotient BCK algebra are constructed, respectively. By investigating their applications, it is shown that these quotient structures are more reasonable than ever before and possess good properties.

构造了一类新的商BCK／BCI代数和一类新的有界商BCK代数，利用这种构造，各类型商BCK／BCI代数可以被相应的Fuzzy理想／滤子完全刻画，以往的商构造被Fuzzy理想／滤子刻画时只有充分条件而没有必要条件，因此新构造弥补了以往构造的不足，比以往的构造更加合理。

First,we give some basic concepts of restricted Lie color algebra,for example,p-subalgebra,p-idea and p-nilpotent Lie color algebra.

然后，我们得到限制李color代数的Frattini子代数和Frattini p-子代数的基本性质并证得可解限制李color代数的Frattini子代数和Frattini p-子代数是两个幂零理想。

It including the pitch point electric current equation andthe return route voltage equation two parts, former pointed out that,regarding any pitch point (3 or 3 above legs points of intersection),flows in and flows out the pitch point various electric currents algebra and is zero, this is the constant condition request, latter pointed out, regarding any closed path, each part of loss of voltage algebra and is zero, this is the electrostatic field ring circuit theorem result, two constituted the complete system of equations.

它包括沥青点电流方程强大的回路电压方程由两部分组成，前者指出，对于任何节点（ 3层或3条以上的腿分的交汇点），流入和流出草地点不同电流代数和是为零，这是恒定的条件要求，后者指出，对于任何封闭道路，每部分的损失电压代数和为零，这是静电场的环形电路定理的结果，构成了两个完整的系统方程式。

The semigroup algebra theory,which has a huge development under interior and exterior double Mathematical conditions form 1950"s to 1960"s,is a new branch of algebra theory.In 1990,R.Biswas gave definition of anti-fuzzy subgroup.In 1995,Shen gave definitions of anti-fuzzy subgroup and normal anti-fiizzy subgroup of group.

半群的代数理论是在数学内部和外部双重条件下，从20世纪50年代到60年代发展起来的一个崭新的代数分支。1990年，Biswas R提出了反Fuzzy子群的定义；1995年沈正维提出了一个群的反Fuzzy子群和正规反Fuzzy子群的定义。

It is proved that the set which all atoms of a BCH algebra are made up is a p semisimple BCI algebra.

证明了一个 BCH-代数的所有原子做成的集合是一个 p-半单 BCI-代数。

In this paper, we mainly study representations of strong semisimple n-Lie algebras, prove that a representation of a strong semisimple n-Lie algebra is a representation of the reductive Lie algebra LP, and the relative properties.

本文主要研究了强半单的n-李代数的表示，证明了强半单的n-李代数的表示可转化为一个约化李代数Lρ的表示，并证明了不变线性形等其它相关性质。

As a dominant party,CPC government should play a guardian,supervisee and guarantee role to overcome all the difficulties in the development of charitable cause and bring it into full play in the establishment of harmonious society on policies and regulations basis.

在中国共产党的文献中第一次把发展慈善事业提到&最广泛最充分地调动一切积极因素，不断提高构建社会主义和谐社会的能力&的高度来认识。近年来，社会学界对慈善事业的理论专著发表较多，有鉴于此，笔者不揣浅陋，谈谈自己的认识和见解。

Flow through the land, the land of the scale of operation allows the effectiveness of the land may be raised.

通过土地的流转，土地的规模经营可以让土地的效益得到提升。