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1.
弱Hopf群余代数是弱Hopf代数和Hopf群余代数的自然推广.设π是一个群,在弱Hopfπ-余代数前提下考虑Morita关系,设H是有限型弱Hopf群余代数,A是弱右π-H-余模代数,构造了弱smash积A#H*和余不动点AcoH的Morita关系.这一结果推广了Wang发表于2006年的Morita contexts,π-Galois extensions for Hopf π-coalgebras一文中的结论.此结果对于构造弱π-Galois扩张是非常重要的. 相似文献
2.
In this work, we made progress on the problem that lr(○×)lp(○×)lq is a Banach algebra under schur product. Our results extend Tonge's results. We also obtained estimates for the norm of the random quadralinear form A:lMr×lNp×lKq×lHs→ C, defined by: A(ei, ej, ek, es)=aijks, where the (aijks)'s are uniformly bounded, independent, mean zero random variables. We proved that under some conditions lr(○×)lp(○×)lq (○×)ls is not a Banach algebra under schur product. 相似文献
3.
An extension of the Lie algebra An-1 has been proposed [ Phys. Lett. A, 2003, 310 : 19-24 ]. In this paper, the new Lie algebra was used to construct a new higher dimensional loop algebra G^～. Based on the loop algebra G^～, the integrable couplings system of the NLS-MKdV equations hierarchy was obtained. As its reduction case, generalized nonlinear NLS-MKdV equations were obtained. The method proposed in this letter can be applied to other hierarchies of evolution equations. 相似文献
4.
In this paper, the author proves that theL
p-boundedness of the Marcinkiewicz integral μΩ on product domainsR
n×Rm; for Ω∈(1)∩(5) improves the result of Chen et al. (2000).
Project supported by Major Project of NSFC (No.19631080) and NSF of Zhejiang province (No. RC97017). 相似文献
5.
设H是域k上的余交换的Hopf代数,A,B均是左H-模代数,则(AB)#H是smash积代数,本文主要讨论(AB)#H的有限对偶的运算及其与(AB)#H的关系。 相似文献
6.
In the light of Ф-mapping method and the relationship between entropy and the Euler characteristic, the intrinsic topological structure of entropy of Kerr black holes is studied. From the Ganss-Bonnet-Chem theorem, it is shown that the entropy of Kerr black hole is determined by singularities of the Killing vector field of spacetime. These singularities naturally carry topological numbers, Hopf indices and Brouwer degrees, which can also be viewed as topological quantization of entropy of Kerr black holes. Specific results S = A/4 for non-extreme Kerr black holes and S = 0 for extreme ones are calculated independently by using the above-mentioned methods. 相似文献
7.
Using φ-mapping method and topological current theory,the topological structure of disclination lines in 2-dimensional liquid crystals is studied.By introducing the strength density and the topological current of many disclination lines,it is pointed out that the disclination lines are determined by the singulaities of the director field,and topologically quantized by the Hopf indices and Brouwer degrees,Due to the equivalence in physics of the director fields n(x) and -n(x),the Hopf indices can be integers or half-integers,representing a generalization of our previous studies of integer Hopf indices. 相似文献
8.
研究了量子群胚上与弱模余代数和余模余代数相关的弱广义smash余积的对偶定理.设H是弱Hopf代数,C是弱左H余模余代数,D是弱左H模余代数.首先,给出量子群胚上的弱广义smash余积C×lHD的定义,并构造其模和余模结构.类似考虑右广义smash余积C×LrD.然后得到它们之间的同构.其次,通过引入弱卷积逆,弱余内作用和强相关余内作用的概念,得到C×HrD和CvD同构的充分条件,其中v∈WC（C,H）,H在D上的余作用是右强相关余内作用.最后,证明了量子群胚上广义smash余积的对偶定理：（C×HlH）×lH＊H＊≌Cv（H×lH＊H＊）. 相似文献
9.
INTRODUCTION In recent years theory of extending modules and rings has come to play an important role in the theory of rings and modules. A module is called an extending module (or CS-module) if every submodule is essen- tial in a direct summand, or equivalently, every closed submodule is a direct summand. Although this gen- eralization of injectivity is extremely useful, it does not satisfy some important properties. For example, direct sums of extending modules need not be ex- tending;… 相似文献
10.
姜海益 《浙江大学学报(A卷英文版)》2004,5(7):754-758
Let k,m,n be positive integers,and k≥2,α∈(0,1],0＜r＜min {m,n} an integer,d=r (m-r)/(k α),and iff∈ Ck,α(Rm,R″),A =Cr(f)= {x ∈ Rm ,rank(Df(x))≤r},thenf(A)is d-null.Thus the statement posed by Arthur Sard in 1965 can be completely solved when k≥2. 相似文献
11.
12.
The seed method is used for solving multiple linear systems A^(i) x^(i) = b^(i) for l≤ i≤ s , where the coefficient matrix A^(i) and the right-hand side b^(i) are different in general. It is known that the CG method is an effective method for symmetric coefficient matrices A^(i) . In this paper, the FOM method is employed to solve multiple linear systems when coefficient matrices are non-symmetric matrices. One of the systems is selected as the seed system which generates a Krylov subspace, then the residuals of other systems are projected onto the generated Krylov subspace to get the approximate solutions for the unsolved ones. The whole process is repeated until all the systems are solved. 相似文献
13.
Particle swarm optimization （PSO） is an efficient, robust and simple optimization algorithm. Most studies are mainly concentrated on better understanding of the standard PSO control parameters, such as acceleration coefficients, etc. In this paper, a more simple strategy of PSO algorithm called θ-PSO is proposed. In θ-PSO, an increment of phase angle vector replaces the increment of velocity vector and the positions are decided by the mapping of phase angles. Benchmark testing of nonlinear functions is described and the results show that the performance of θ-PSO is much more effective than that of the standard PSO. 相似文献
14.
The sufficient and necessary conditions of the Bochner-Orlicz sequence spaces equipped with the Luxemburg norm,which have λ property,are given.The result shows,which is not as usual,that the λ property of the Bochner-Orlicz seauence spaces can not be lift from X. 相似文献
15.
Hopf拟群上扭曲冲积 总被引：1，自引：0，他引：1
为了研究平行球面s7的代数结构,引进了Hopf拟群上的拟模和双拟模代数的概念,由于这些概念的公理中模缺少结合性的条件,通过增加对极的条件来弥补结合性的条件.并通过双拟模代数构造了扭曲冲积的概念,事实上这种扭曲冲积是Hopf代数上扭曲冲积的推广,并且证明了扭曲冲积与张量余积成为Hopf拟群的充要条件为当且仅当下列条件(h... 相似文献
16.
LIN Zheng-yan SHEN Xin-mei 《浙江大学学报(A卷英文版)》2006,7(6):1088-1091
INTRODUCTION Chung (1947) proved the so-called “Chung’s strong law of large numbers”. Let {Xn, n∈ù} be a sequence of independent random variables with EXn=0 for all n and 0相似文献
17.
Zhan Xing-zhi 《上海大学学报(英文版)》2004,8(4):444-447
We prove some singular number inequalities for τ-measurable operators affiliated with a semifinite von Neumann algebra.
Project sponsored by SRE for ROCS, SEM. 相似文献
18.
BAI Lei-shi HE Li-ming TIAN Zuo-hua SHI Song-jiao 《浙江大学学报(A卷英文版)》2006,7(10):1733-1741
INTRODUCTION Due to increasing demand for higher perform- ance, as well as for higher safety and reliability standards, the model-based approaches to fault de- tection and isolation (FDI) for dynamic systems have received more and more attention during the last two decades (Chen and Patton, 1999; Chen and Saif, 2006 Frank and Ding, 1997; Gao and Wang, 2006; Jiang and Zhou, 2005; Zhou et al., 1998). Among these model-based approaches, the most common way is the observer-based approach… 相似文献
19.
Constant solutions to Yang-Baxter equation are investigated over Grassmann algebra for the case of 6-vertexR-matrix. The general classification of all possible solutions over Grassmann algebra and particular cases with 2,3,4 generators
are studied. As distinct from the standard case, whenR-matrix over number field can have a maximum 5 nonvanishing elements, we obtain over Grassmann algebra a set of new full 6-vertex
solutions. The solutions leading to regularR-matrices which appear in weak Hopf algebras are considered. 相似文献
20.
1 Introduction We consider the finite digraphs that do not havemultiple arcs or loops , but pairs of opposite arcs areallowed.LetD=(V,A) be a digraph , whereVisthe set of vertices andAis the set of arcs .If there isan arc (x,y) fromxtoy,thenthe vertexxis … 相似文献