In the nonlinear symmetries of quantum systems, explicit expressions were obtained for the indecomposable representation of the nonlinear angular momentum algebra I Ω on the space of its universal enveloping algebra and for two induced representations on the corresponding quotient spaces using Poincaré Birkhoff Witt theory.
在量子系统的非线性对称性的研究领域中 ,利用Poincaré- Birkhoff- Witt理论 ,得到了非线性角动量代数 IΩ(Ω 为多项式的最高次幂 )在其通用包络代数空间上的不可分表示及在两个商空间上的诱导表示 ,并在此基础上具体给出了 IΩ 的非齐次的单、双和三玻色子实现。
By using special generator of indecomposable module, we get some conclusions of short exact sequence and epimorphism of modules, which are the fundament of Hall polynomial of Hall algebra corresponding to tube category.
运用不可分解模的特殊生成元的定义,分析出满同态的一些性质,得到关于管范畴中模的满同态和短正合列的几个结论,为研究与管范畴对应的Hall代数的Hall多项式打下了一定的基础。
Moreover,the relations between the modules of the original algebras A,B and the one of new extension algebra A kB are dicussed by the representations of quivers,such as indecomposable modules,projective modules,injective modules,flat modules and so on.
进一步地,通过箭图表示,讨论代数A、B与扩张代数A kB之间模的关系,包括不可分解模、投射模、内射模、平坦模等。
This paper, using projective schur modules,will research and characterize the con-dition under which the indecomposable modules of finite representation selfinjective algebra aredetermined by composite factor.
本文用不可分解投射Ｓｃｈｕｒ模研究并刻划了有限型自入射代数的不可分解模由合成因子决定的条件。
Applying special generators of an indecomposible module,we discuss some properties of module homomorphisms,and get the constitution of induced direct decomposition of L and its cokernel about homomorphism f:M h l →L.
在不可分解模上定义特殊生成元 ,并运用它研究了管范畴中模同态的一些性质 ,得到了关于同态 f:Mh,l→ L的导出的模 L的直和分解及其余核的构造 。
For the molecular orbital,the irreducible representation component is analyzed besides the membership function of the fuzzy symmetry transformation.
对于分子轨道,除模糊对称变换的隶属函数外,分析了所属不可约表示成分。
In this note,all projective indecomposable modules over generalized Witt algebra W(2,1)with character height■0 in characteristic 2 are realized,and all related Cartan invariants are computed.
研究了特征为2的代数闭域上广义Witt代数W(2,1)的投射不可分解模,给出了特征标高度ht_X■0的所有投射不可分解模同构类的代表元和Cartan不变量。
The Direct Sum Decomposition of (?)_(r, s)(sl_2) about Principal Indecomposable Modules
（？）_（r，s）（sl_2）关于主不可分解模的直和分解式
Classification of Infinitely Dimensional Indecomposable U_q(sl_2)-modules;
无限维不可分解U_q（sl_2）-模的分类
indecomposable linear representation
不可分解的线性表示
hereditarily indecomposable continuum
遗传不可分解的连续统
The Presentation Matrix of Indecomposable Koszul Modules of Complexity One over Exterior Algebra;
外代数上复杂度为1的不可分解Koszul模的表示矩阵
Classification of fuzzily separable training patterns based on fuzzy perceptron
利用模糊感知器解决模糊可分样本的分类问题
Without knowledge of the data gathering process, ambiguity can result.
不了解采集数据的途径，结果就可能会模棱两可。
representing the furthest possible extent of analysis or division into parts.
不大可能被分解成几个部分。
The k-Quasi-transitive Fuzzy Matrices and the (?)-decomposable Fuzzy Relations;
模糊k-拟传递阵以及可（？）分解的模糊关系
The separated couple was irreconcilable.
那对分居的夫妻不可能和解。
Solvability of F-Implicit Variational Inequality Problems with Extended Projection Operators
广义投影下F隐变分不等式的可解性
The relative merits between "degradable" and "non-degradable" radiolabeled pyrimidine analogues have been compared in this paper.
本文比较可分解及不可分解放射性标帜嘧啶核苷酸之个别优点。
Effects of TNF-α on Proteolysis of Skeletal Muscle in Rats with COPD and Its Mechanism;
TNF-α对COPD营养不良动物模型骨骼肌蛋白质分解代谢的影响及可能的机制
The world's problems cannot all be solved in the same way.
世界上的问题不可能都用一个模式解决。
Extension Model and Solving Thought of the Incompatible Problems on Enterprise Information;
企业信息不相容问题的可拓模型和解决思路
A New Algorithm on Solving MARKOWITZ Model with Inversible Covariance Matrix;
关于协方差矩阵不可逆时MARKOWITZ模型的求解问题
Cough Sound Detection Bases on EMD Analysis and HMM Recognition
基于经验模态分解分析和隐马尔可夫模型识别的咳嗽音检测
However, we cannot possibly achieve -- and should not expect -- a perfect settlement of every case.
但是，不可能也不应该要求解决得十分完满。