代数的

Also prove that every bounded linear approximately local Hilbert space representation of a abelian von Neumann algebra is a representation,every bounded linear approximately 2- local Hilbert space representation of a von Neumann algebra is a representation.

同时证明了交换von Neumann代数的有界近似局部表示是表示，每个von Neumann代数的有界近似2—局部表示是表示。

The representations of the associative algebra A play an important role in the study of the representations of the vertex algebra.

践行"三个代表"重要思想，推动高校办公室管理创新6。结合代数A的表示与顶点代数的表示密切相关。

We prove every linear and local centralizer on J -subspace lattice algebras is a centralizer.

第三章研究J -子空间格代数的局部中心化子，证明J -子空间格代数的线性局部中心化子是中心化子。

The relation allows us to evaluate coupling and re_coupling coefficients of the corresponding quantum and classical Lie algebras from the induction and subduction coefficients of their centralizer algebras.

这一关系使我们能够利用相应中心代数的诱导及分导系数计算出经典李代数及其量子情形的耦合与重新耦合系数。

He is leading a research group 'Algebra and Coalgebra: the mathematical environments of modal logic'.

他当前正主持研究项目"代数和余代数：模态代数的数学环境"。

And certain q-polynomial coalgebras arisesnaturally,which is a q-deformation of classical polynomial coalgebra.

并且我们自然地引出了一类q-多项式余代数，它是经典多项式余代数的变形。

The lateral axis is 训练代数, longitudinal axis is the gradation of learning.

横轴是训练代数，纵轴是学习的好坏程度。

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。

Then,it notices that all infi-nite matrix operators between the sequence spaces with the WGHP may form a topologicalalgebra.It also studies the weak sequentially completeness of this class of topological al-gebras and some other basic properties.

其次发现了具有WGHP序列空间上无穷矩阵算子所成之拓扑代数，并研究了这类无穷矩阵拓扑代数的弱序列完备性等一些基本性质。

This fills a gap in the theory of bi-Froebnius algebras introduced by Doi and Takeuchi.

首先，我们给出了基本圈上Frobenius代数成为对称代数的一个数值刻画。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。