共查询到20条相似文献，搜索用时 78 毫秒
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定向量子代数(定向量子余代数)是拟三角Hopf代数(余拟三角Hopf代数)的推广并且可以得到定向1-1缠绕、定向扭结和连接的正则合痕不变量.令(H,σ,D,U)为域k上的定向量子余代数,则(H(×)H,ψ,D(×)D,U(×)U)为余代数H与其自身张量积上一个平凡的定向量子余代数结构,其中ψ(a(×)b,c(×)d)=ψ(a,c)ψ(b,d).本文给出余代数H H上的一种定向量子余代数结构(H(×)H,σ,D(×)D,U(×)U),其中σ(a b,c d)=σ-1(D1,a1)·σ(a2,c1)σ-1(d2,b1)σ(b2,c2).进一步得到定向量子余代数与其自身张量积上的一种非平凡的定向量子余代数结构,这一结果对偶于Radford发表于2007年的一文中的结论.理论上本文的结果对于构造定向扭结和连接不变量是非常重要的. 相似文献
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利用n-余表现模定义了模M的n-余表现维数COPnd(M),刻画了右n-余凝聚环,即R为右n-余凝聚环当且仅当对于任意右R-模M,均有COPnd(M)=COPn+1d(M),并研究了在环扩张下模的n-余表现维数的若干关系式。 相似文献
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给出了jansian环的定义,等价刻画了jansian环上的余遗传挠对,证明了R-模范畴上所有余遗传挠对构成的集合R-Ctors在R是jansian环时是一个格,且在jansian环尺上,R-Ctors与R-Jan之间存在格反同构,引进了使M为挠模的最小余遗传挠对ξ(M)=∧{σ=(T,F)|σ是余遗传挠对,并且M∈T},并给出ξ(M)一些格上的性质． 相似文献
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设R是一个环,n、d为两个给定的非负整数,一个R-模M称为(n,d)-平坦,若对于任意n-表示R-模Q,有TorRd+(1Q,M)=0.M称为(n,d)-余挠,若对于任意(n,d)-平坦R-模N,有Ext1R(N,M)=0.本文运用这些定义刻画了n-凝聚环. 相似文献
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一、选择题(本大题共12小题,每小题5分,共60分) 1.集合M={a,b,c},N={-1,0,1},映射f:M→N满足f(a)+f(b)+f(c)=0, 那么映射f:M→N的个数是 相似文献
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姜坤崇 《中学数学研究(江西师大)》2003,(3):19-20
笔者曾在文[1]中给出如下结论: 定理给定双曲线c:x2/a2-y2/b2=1(a＞0,b＞0),P1是c上不在顶点的任一点,P1P2是c的垂直于y轴的弦,M1(0,-b),M2(0,b)是c虚轴的两个端点,则直线P1M1与P2M2的交点P仍在c上. 相似文献
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设E是一实Banach空间,K是E的一非空闭凸子集.设f:K→K是一压缩映象,T1,T2,…,Tn:K→K是具序列{kn}(c)[1,+∞),lim n→∞ kn=1的有限簇一致L-Lipschitzian渐近伪压缩映象,且∩N/(i=1)F(Ti)≠φ.设序列{xn}定义为xn+1=(1-αn-βn)xn+αnf(xn)+βnTrn/nxn,其中{αn},{βn} (c)[O,1],rn=n mod N是值域为{ 1,2,…,N}的模函数.在一定条件证明了迭代序列{xn}强收敛于T1,T2,…,Tn的公共不动点.推广和改进了张石生等人的最新结果. 相似文献
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邱崇丙 《唐山师范学院学报》2014,(1):21-23
汉字的六书,《说文》对“转注”一类,语焉不详。后世学者提及转注,也仅限于许慎所举出的例字。《汉字例说》一文,作者从转注的角度综合考虑,对部分现代常用字作了分析,跟传统的解释有所不同。希望能抛砖引玉,互相切磋,以推进学术研究。 相似文献
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《海外英语》2007,(5):10-11
Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help? 相似文献
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Rachel Zupek 《海外英语》2007,(11):40-41
我们绝大部分人都同意一件事情——我们喜欢金钱。但是你对金钱的喜欢之情足够到让你创立一份事业么?.财富通常被人忽视,主要在于人们不能真正了 相似文献
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YANGShiguo 《重庆大学学报(英文版)》2004,3(1):86-88
The problem on the geometrc inequalities involving an n-dimensional simplex and its inscribed simplex is studied. Aninequality is established, which reveals that the difference between the squared circumradius of the n-dimensional simplex andthe squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not lessthan the 2(n-1)th power of n times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is atangent point one. Deduction from this inequality reaches a generalization of n-dimensional Euler inequality indicating that thecircumradius of the simplex is not less than the n-fold inradius. Another inequality is derived to present the relationship betweenthe circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex. 相似文献
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《海外英语》2007,(4):36
There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love. 相似文献
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Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject. 相似文献
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GUO Bao-feng Xiao Da-wei 《重庆大学学报(英文版)》2005,4(3):129-133
Using virtual reality for interactive design gives a designer an intuitive vision of a design and allows the designer to achieve a viable, optimal solution in a timely manner. The article discusses the process of making the Virtual Reality System of the Humble Administrator＇s Garden. Translating building data to the Virtual Reality Modeling Language （VRML） is by far unsatisfactory. This creates a challenge for computer designers to do optimization to meet requirements. Five different approaches to optimize models have been presented in this paper. The other methods are to optimize VRML and to reduce the file size. This is done by keeping polygon counts to a minimum and by applying such techniques as object culling and level-ofdetail switching. 相似文献