查询词典 algebra

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。

The solvable Lie algebra is corresponding to a cascade decomposition of the system and the semisimple Lie algebra is corresponding to a qasi-parallel decomposition such that the system has a parallel form of a cascade decomposition and a qasi-parallel decomposition.

任一李代数都可分解为一可解李代数与一半单李代数的半直和，可解李代数对应于系统的级联分解，半单李代数对应的是系统的准平行分解，将二者合并起来，就得到一般李群下的非线性系统的结构分解，这是一级联形式与一准平行形式的并联形式分解。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

In this paper, the main purpose is to study completely normal separation axiom in L-topological spaces and several algebra structures on L-Fuzzy algebra.

本文主要是研究L-拓扑空间的完全正规分离性和L-Fuzzy代数中的若干代数结构。

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

个元素。例如，上文定义的集合T的集合代数就对应与一个有32个元素的布尔代数。

Some new basic concepts are proposed in this paper, including the approximation space of generalization, rough approximation axiom, disturbance set axiom, classification principle of rough set, principle of nondeterministic even set, principle classification, bit quantum symmetric classification, of concentration, game classification, quantum logic incomparable set, bit space set, protocol relation, rough set function of protocol relation, rough classification algebra, rough simple algebra, etc., and a guess is also proposed.

提出了广义近似空间、粗近似公理、干扰集公理、粗糙集的分类原则、粗选原则、不确定偶集原则、精选原则、对策分类、量子逻辑分类、bit量子对称分类、不可比集、bit空间集、协议关系、粗糙集函数、粗糙分类代数和粗糙单代数等基本概念，并提出了一个猜想；展示了一些新观点；基于协议关系构造了粗糙商代数和粗糙子代数，给出了回避-归并算法及算例。

The fourth had reading, writing, dictation and elementary arithmetic; the third, reading, grammar, arithmetic and geography; the second, reading and grammar, arithmetic, algebra through simple equations, and geography with map-drawing; and the first finished Loomis' Treatise on Algebra, studied four books of Loomis' Geometry, and parts of Swinton's Universal History and read selections from Addison.

第四班级授以阅读、写作、听写与初级算术，三班授以阅读、语法、算术与地理，二班为阅读、语法、算术、线性代数及绘图地理，一班则为卢米兹代数终论，卢米兹几何四部，史云顿寰宇历史，及阿狄森（Joseph Addison十八世纪英国著名作家）文选。

In Kac-Moody algebra, if the given element is a real root vector or in Cartari subalgebra, there exists an element such that they can generate the algebra.

在Kac-Moody代数中，如果预先给定的元素属于Cartan子代数或者是实根向量，能够找到它的配对生成元。

It is shown that if L is a subalgebra of a Lie color algebra Q, then Q is an algebra of quotients of L if and only if Q is ideally absorbed into L.

利用没有非零零化子的理想对Lie color代数的商代数进行刻画，证明了：若L为Lie color代数Q的子代数，则Q为L的商代数当且仅当Q理想吸收于L。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷