Algebras英文翻译_含义_读音_Algebras例句

词性释义

n.

[数]代数（algebra 的复数形式）

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代数

Commutativity up to a factor is one of the invariants of isomorphisms among operator algebras.

算子的因子交换性是算子代数之间同构的不变量之一。

Generally speaking, KS-algebras are reflexive, maximal triangular with respect to its "diagonal subalgebra" .

粗略来说，KS-代数即为相对于其对角子代数的极大上三角自反代数。

The most intuitive development of boolean algebras arises from the concept of a set algebra.

布尔代数最直觉的发展产生与集合代数的概念。

The concept of intuitionistic filters of BCI-algebras is introduced and some important results are given.

引入BCI-代数的直觉模糊滤子的概念，刻划一些重要的结论。

In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings.

本文研究了含幺可换环上一般线性李代数的子代数结构。

The authors show that the Lies Theorem holds for Lie color algebras with a torsion- free abelian group G.

作者证明了无挠群上的色李代数的李定理，同时，也给出例子说明无挠性是必要的。

The derivation Lie algebras of quantum torus have many important application in the study of the representation theory of Lie algebras.

量子环面上的导子李代数在李代数的表示的研究中起着很重要的应用。

Two criteria for the reducibility of presentations of finite dimensional associative algebras are presented.

给出有限维结合代数上表示可约性的两个判别法。

As an application of Chinese remainder theorem in IS-algebras, an isomorphism theorem in IS-algebras is given.

作为IS-代数上的中国剩余定理的应用，同时给出了一个IS-代数的同构定理。

Going even further, one can exploit the fact the dual orders of Boolean algebras are exactly the Boolean algebras themselves.

进一步的，你可以发现布尔代数的对偶次序完全的是布尔代数自身。

Moreover, he given a characterization of semisimple classes for the normal class of algebras, a special class of objects of algebras.

并且，在特殊的代数对象类———正规代数类中，他给出了半单类的一个特征。

We have classified all types of the solvable Lie algebras with nondegenerate invariant bilinear form.

我们给出了带有非退化不变对称双线性型的可解李代数的完全分类。

It goes on to describe the finite-dimensional modules for such algebras , including the character formula of Hermann Weyl.

它接着为这样的代数描述有限维模件，包括赫尔曼·韦尔的性格公式。

The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras.

理论已经逐步形成描述在有限群，标准化的形式和顶点算符代数之间的关系。

The concept of fuzzy filters and fuzzy Ideals are made in pseudo-effect algebras. And the properties of them are investigated.

在伪效应代数中提出了模糊滤子和模糊理想的概念，讨论了它们的性质；

The complete constructions of scale generalized effect algebras and scale effect algebras are studied in this paper.

研究了标度广义效应代数与标度效应代数的代数结构，给出了比较完整的结果。

There are particular relations between the closed connected normal subgroups of algebraic groups and the ideals of Lie Algebras.

代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。

In this thesis we discuss the filtration dimensions and tilting modules of generalized power series algebras.

本文研究了广义幂级数代数的滤链维数与倾斜模。

We established the concepts of fuzzy ideals and the ultraproduct of MV- algebras and discussed their basic properties.

首先建立MV-代数的模糊理想和超积的概念，在此基础上进一步讨论它们的基本性质。

Finally, the solvability of a kind of infinite-dimensional path Lie algebras is discussed.

最后，对一类无限维路李代数可解的条件作了探讨。

The algebraic essence of residual lattices for various logical algebras was pointed out.

进一步指出了各种逻辑代数的剩余格的代数本质。

Decomposition of trace class operators in weakly closed modules over nest algebras.

套代数弱闭模中迹类算子的分解。

AimTo study the notions of topological subalgebras, topological ideals and topological homomorphisms in topological BCI-algebras.

目的为研究拓扑BCI代数的拓扑子代数、拓扑理想和拓扑同态的概念。

The content of WDRL-Semigroups was enriched by the study of logic algebras with ideals.

用理想来研究逻辑代数，丰富了WDRL半群的内容。

The important role of residual lattice in the logic algebras system was verified.

说明了剩余格在逻辑代数系统中的重要地位；

They are to monadic predicate logic what Boolean algebras are to propositional logic, and what polyadic algebras are to first-order logic.

它们对应一元谓词逻辑，而布尔代数对应于命题逻辑，而多元代数对应于一阶逻辑。

In this paper, we study the left color symmetric structures on Lie color algebras .

本文研究了着色李超代数上的左着色对称结构问题。

BL algebras, R0 algebras and MTL algebras which are proposed recently are representative results in this area.

近期提出的BL代数，R_0代数，MTL代数就是这个方向具有代表性的研究成果。

local derivations and 2-local derivationsof JSL algebras must be derivations.

局部导子和2-局部导子一定是导子。

In this thesis, we will study several problems about approximate mappings between C*- algebras .

中文摘要在这篇论文中，我们将研究几个有关C*代数间的近似同构问题。

1·In this paper, a proof of the theorem on "Any two denumerable Boolean algebras with atoms of the same finite number are isomorphic" is given.

在这篇论文中，定理“任意两个具有相同有限个原子的可数无穷布尔代数是同构的”的一个证明被给出。

2·Those results describe the characterizations of interior structures of those algebras, and also offer a new way for further researching lattice-valued logic systems from the semantics.

其结果描述了这些代数内部结构的特征，同时也为从语义的角度进一步研究格值逻辑系统提供了一个新的途径。

3·As consequences it is given some of structure theorems of lattice implication algebras.

作为推论，给出了格蕴涵代数的某些结构性定理。

4·We systematically sum up characteristics of advanced algebras in thought methods from the Angle of theory of knowledge.

从认识论的角度，系统地总结了高等代数在思想方法上的特点。

5·Operator theory, operator algebras, and applications.

算子理论，算子代数及其应用。