locally finite algebra

Let U be quantum group Uq(f(K)), F(U) the locally finite subalgebra of U (i.

用U表示量子群Uq(f(K)),F(U)是U的局部有限子代数(即由量子伴随作用下局部有限的所有元素组成的U的子代数)。

In this paper,by using the representation theory and structure of the locally finite subalgebra F(U) of the quantum group U = U_q(f(K)),we prove that every non-zero U-stable ideal of F(U) can both be generated by a sum of some highest weight vectors with distinct weights.

利用量子群U=U_q(f(K))的表示理论及其局部有限子代数F(U)的子模结构,证明了U_q(f(K))的局部有限子代数F(U)的任一非零理想均可由若干个具有不同权的最高权向量的和生成。

The notion of base-countably paracompact space is introduced and some of its equivalent characterizations are obtained:(i)X is a base-countably paracompact space if there exsists an open basis B for X with |B|=ω(X) such that every countably open cover U={Ui}i∈N of X has a locally finite countabe refinement B′ by members of B,B′={Bi}i∈N and BiUi.

引入了基-可数仿紧空间的概念,给出基-可数仿紧空间的一些等价刻画,获得以下结果:(i)X是基-可数仿紧空间当且仅当存在X的一开基B,|B|=ω(X),对于X的每一可数开覆盖U={Ui}i∈N,都存在B′B,使得B′={Bi}i∈N是U的局部有限的可数开加细,且BiUi;(ii)设X是正规空间,X是基-可数仿紧空间当且仅当存在的一开基B,|B|=ω(X),使得X的每一可数开覆盖都存在由B中的元构成的局部有限的收缩。

Author mainly proves following:(1)X is a Base-paracompact space iff X is a Base-countably paracompact space and every open cover of X has a σ-locally finite open refinement by members of the basis which witnesses Base-countably paracompact space.

主要证明了如下结果:(1)X是基-仿紧空间当且仅当X是基-可数仿紧空间,并且X的每一开覆盖都存在满足X是基-可数仿紧空间的开基的元构成的σ-局部有限的开加细。

In [4], the authors have proved that if a locally finite group is a core-finite, then it .

文[4]证明了局部有限的Core-有限群是abelian-by-finite。

Let R=Z/pk Z is a finite local ring of module integer pk,Let D i=O Di - Di O ,Δ ={Pi∈ GL2 si ( R) | Pi D i Pi′- D i=B},and matrix B=pμBis a arbitrary alternate matrix with order2 siover R,where p is a prime and k>1 ,Di=diag{pri,… ,pri},0 <ri<k,ri<μ≤ k,si≥ 1 .

设 R=Z/pk Z是模整数 pk的有限局部环 ,Di=O Di-Di O ,B=pμB是 R上任意取定的 2 si阶交错阵 ,Δ={Pi∈ GL2 si( R) |Pi Di Pi′-Di=B},其中 Di=diag{pri,… ,pri},0

The following results have been given: let R be a ring and G be a locally finite group,if the group ring RG is a left G-morphic ring,then R is a left G-morphic ring;if the group ring RH is a left G-morphic ring for every finite subgroup H of G,then the group ring RG is a left G-morphic ring.

本文讨论了左G-morphic群环RG的性质,主要证明了以下结果:设R是一个环,G是一个局部有限群,如果群环RG是左G-morphic环,那么R是左G-morphic环;如果对G的每个有限子群H,群环RH是左G-morphic环,那么群环RG是左G-morphic环。

For every subgroup H of a locally finite group G, if H is a weakly semi-radicable group and H ≠ Hp for every p∈ π(H), then G is a locally nilpotent group and every Sylow p-subgroup of G is finite.

证明了:①如果局部有限群G的每一个子群H是弱半根群且对任意p∈π(H)满足H≠Hp,那么G是局部幂零群而且每一个Sylow p-子群是有限群。

The Stable Ideal of the Locally Finite Subalgebra of Quantum Group U_q(f(K))

量子群U_q(f(K))的局部有限子代数的稳定理想

Finite Codimensional Ideal and Finite Type Module of Quantum Algebras;

量子代数的有限余维理想及有限型模

Local linearization of finite-rank operator in global analysis

全局分析中非线性有限秩算子的局部线性化

DERIVATION ALGEBRAS FOR GROUP ALGEBRAS OF FINITE GENERATED ABELIAN GROUPS

有限生成可换群的群代数之导子代数

2-Localφ-derivations on certain CSL algebras

某些CSL代数上的2-局部φ-导子

An Anzahl Theorem of 3×3 Matrices over Finite Local Ring;

有限局部环Z/p~mZ上3阶交错矩阵的计数定理

Finite element numerical implementation for simulation of deformation band in saturated sand

饱和砂土局部变形带模拟的有限元数值实现

On Rate of Convergence of Baskakov-Bézier Operators for Locally Bounded Functions

局部有界函数的Baskakov-Bézier算子的收敛阶

An Effective Way of Improving the Accuracy of Local Approximation for Displacement Function and Its Derivatives in the Finite Element Method

在有限元法中提高位移函数及其导数的局部近似的一种有效方法

The Derivations of the Finite Dimensional Irreducible Modules over the Loop Algebras

Loop代数的有限维不可约模的导子

Conductor and Discriminant of Finite Abelian Extension of Local Field and Its Application

局部域有限阿贝尔扩张的导子与其判别式的应用

The number of cationic bromine and chlorine compounds is restricted.

溴、氯阳离子化合物的数量受局限。

Hot applications helped to localize the infection.

热敷法有助于使发炎限于局部。

On locally finite collections in fuzzy topological spaces (Ⅱ)

模糊拓扑空间中的局部有限族(Ⅱ)

Weakly Co-cofinite Modules, Gorenstein Injective Modules and Local Cohomology;

弱余上有限模，Gorenstein内射模及局部上同调

Cyclic Codes over Finite Artin Local Principal Ideal Rings;

有限Artin局部主理想环上的循环码

Discussion of partial stress with secondarycalculation of finite element;

有限元二次计算局部集中应力的讨论

Local Discontinuous Galerkin Finite Element Methods for Allen-Cahn Equation

Allen-Cahn方程的局部间断Galerkin有限元方法