subalgebra
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网络 子代数
双语例句
- A kind subalgebra structure of vertex operator algebra associated to nondegenerate Solvable Lie Algebras
非退化可解李代数的顶点算子代数的一类子代数结构 - Derivations of the Standard Borel Subalgebra of Lie Algebra of Type C_n over a Commutative Ring
交换环上Cn型李代数的标准Borel子代数的导子 - The concept of regular R_0-subalgebra of is introduced and it is uniformly distributed on.
引入了W的正则子R0代数的概念，证明了这种代数在W中关于势是均匀分布的。 - Results of Virasoro Subalgebra
Virasoro李代数的子代数若干结果 - Virasoro symmetry subalgebra, multi-linear variable separation solutions and localized excitations of higher-dimensional differential-difference models
高维微分-差分模型的Virasoro对称子代数，多线性变量分离解和局域激发模式 - Firstly, we prove three equivalent conditions for a solvable n-Lie algebra. Subsequently, mimicking the Borel subalgebra theory of Lie algebras, we give the definition of a Borel n-subalgebra of an n-Lie algebra, and prove two propositions about it.
第三节，证明了可解n-李代数的三个等价条件，并仿照李代数理论中的Borel子代数的定义，给出了Boreln-子代数的定义及相关性质。 - A Subalgebra of Lie Algebra and the Associated Two Types of Loop Algebras
一个Lie代数的子代数及其相关的两类Loop代数 - The sufficient and necessary conditions which Fuzzy subalgebra of direct product Boolean algebra can be decomposed as direct product of two Fuzzy subalgebras are obtained.
给出了直积布尔代数的Fuzzy子代数可分解为两个Fuzzy子代数的直积的充要条件； - The properties of rough subalgebra are studied. The major result of getting involves substitution, necessary and sufficient condition of the rough subalgebra, homomorphism and duality theorem.
讨论了粗糙子代数的性质，得到主要结果：置换性、粗糙子代数的充要条件、同态映射、二重性定理等。 - Automorphisms of the Maximal Nilpotent Subalgebra of Type D_n Lie Algebras
Dn型李代数的极大幂零子代数的自同构 - The following concepts are introduced: quotient, subalgebra and homomorphism of completely distributive lattices and meet continuous lattices.
介绍了完全分配格、交连续格的商集、子代数、同态的概念。 - It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。 - Every one set of symmetries constitute a generalized W ∞ algebra which contains the usual W ∞ algebra as its subalgebra.
每一族对称构成一个广义W∞代数，通常的w∞代数仅是这个代数的子代数。 - Based on the protocol relation, the rough quotient algebra and the rough subalgebra are constructed. The avoidance-merge algorithm ( A-M algorithm) is presented and an example is given.
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。 - Decompositions of Rough Sets Based on Fuzzy Tolerance Relations Rough Subalgebra
基于模糊容差关系粗糙集的分解及其在信息检索中的应用 - In this paper, we prove that the set of all stochastic matrices is a maximum subalgebra of matrix algebra.
本文证明了n×n阶Stochastic矩阵全体是全矩阵代数的一个极大子代数。 - We construct a smooth subalgebra of Toeplitz algebra on ordered group with Property RD, and prove this subalgebra is spectral invariant in the Toeplitz algebra.
构造了具有性质RD的序群上的Toeplitz代数的光滑子代数，并且证明了这个子代数在Toeplitz代数中是谱不变的。 - It is proved that σ weakly continuous isometric isomorphism between Cartan bimodule algebras whose self adjoint parts are normal vN subalgebra can extend to a isomorphism of their generated vN algebras.
本文证明了自伴部分是正常vN子代数的Cartan双模代数间的σ－弱连续等距代数同构可以扩张成其生成vN代数间＊－同构。 - The conditions of FI algebra to be a subalgebra of direct product of a system of linearly ordered FI algebras
FI代数同构于一族全序FI代数的直积的子代数的条件 - In this paper, we investigate a class of algebra, whose subalgebra of all left zero divisors is a finite dimension algebra. The structure theorem and decomposition theorem of these algebras are provided.
本文讨论一般域上的一类代数，它的左零因子组成有限维子代数，文中给出这类代数的结构定理和分解定理。 - Subsequently, we character and study the 2-cocycles on a subalgebra of the algebra M3 ( C) and obtain the necessary and sufficient conditions that a bilinear mapping is a 2-cocycle on this algebra.
接着对矩阵代数M3（C）的子代数上的2-上循环进行了等价刻画，得到了其上的双线性映射是2-上循环的充要条件。 - First, we proved that every linear maps that preserving anti-zero product and unit from one nest subalgebra of factor von Neumann algebra to another is an anti-isomorphism.
证明了因子vonNeumann代数中两个套子代数之间双边保反零积且保单位元的线性满射是反同构。 - The Weak Density of the Rank One Subalgebra in Completely Distributive Subspace Lattice Algebras and a Characterization of Nest Algebras
完全分配格代数中秩一子代数的弱稠密性和套代数的一个特征 - This method is applicable to construct the coherent states ( q-coherentstates) of arbitrary Lie algebra ( quantum algbra) which contains the subalgebra SU ( 2)( SUq ( 2)).
这一方法对于构造以SU（2）或SUq（2）为子代数的任意李代数或量子代数的相干态或q相干态也是适用的。 - A Smooth Subalgebra of Toeplitz Algebra on Ordered Group with Property RD
具有性质RD序群上的Toeplitz代数的光滑子代数 - By analysis for a series of subspaces and subalgebra in the ultradistribution algebra, a concept of the layer of an ultradistribution is introduced.
通过分析超分布代数的一系列子空间和子代数，我们引入了超分布的层的概念。 - First of all, a new subalgebra of loop algebra A~ 2 is constructed.
首先构造了loop代数A～2的一个新的子代数，设计了一个等谱问题。 - In this paper, we introduce the notions of closed fuzzy ideals and fuzzy subalgebra in BCH-( algebras) and the notion of well BCH-algebra. Moreover, we discuss their properties in BCH-algebras and ( obtain) many results.
引入了BCH-代数的闭模糊理想、子代数及优BCH-代数的概念，讨论它们的性质，获得若干结果。 - In this paper, the local linear mappings on the subalgebra of matrix algebra M_3 ( C) are studied.
研究了矩阵代数M3（C）中一类特殊子代数A上的局部线性映射。 - On the basis of the De Morgan subalgebra and the compactness, the local compactness for a De Morgan algebra of topology is introduced and the relations between it and the separation axioms are investigated. A theorem similar to classic Baire Category theorem is established.
利用德摩根子代数概念以及紧性引进了德摩根拓扑代数的局部紧，研究了它与分离公理之间的关系，并给出了一个类似于Baire范畴定理的定理。