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本文讨论了无限维完备李代数的一些性质,由Virasoro代数,Kac-Moody代数构造了几类无限维完备李代数.同时给出了Kac-Moody代数及其广义抛物子代数的导子代数的刻划.证明了完备李代数的Loop扩张仍为完备李代数. 相似文献
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本文研究局部顶点李代数与顶点代数之间的关系.利用由局部顶点李代数构造顶点代数的方法,定义局部顶点李代数之间的同态,证明了同态可以唯一诱导出由局部顶点李代数构造所得到的顶点代数之间的同态. 相似文献
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本文构造了一类非Hopf 代数的双Frobenius 代数. 特别地, 在某些特殊的情形下, 这里构造的双Frobenius 代数是整体维数为3 的阶1 生成的Artin-Schelter 正则代数的Yoneda 代数. 相似文献
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带权无穷小双代数是非齐次结合经典杨巴方程的代数抽象,在数学和数学物理领域有诸多重要的应用.给出了Sweedler四维代数及其子代数上的带权无穷小双代数的分类.作为应用,得到了Sweedler四维代数上的预李代数,进而诱导出它们的李代数结构. 相似文献
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本文讨论了无限继完备李代数的一些性质,由Virasoro代数,Kac-Moody代数构造了几类无限维完备李代数.同时给出了Kac-Moody代数及其广义抛物子代数的导子代数的刻划.证明了完备李代数的Loop扩张仍为完备李代数。 相似文献
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蕴涵代数与BCK代数 总被引:6,自引:0,他引:6
系统研究 Fuzzy蕴涵代数与 BCK代数之间的关系 ,给出 MV代数与 BCK代数之间的联系 ,建立正则 FI代数和对合 BCK代数的对偶代数 相似文献
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MV-代数、BL-代数、R0-代数与多值逻辑 总被引:91,自引:20,他引:71
证明三种不同形式的MV-代数刻画的等价性,分析MV-代数、BL-代数与R0代数的逻辑背景,提出若干可进一步研究的课题。 相似文献
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潘庆年 《数学物理学报(A辑)》2004,24(3):337-341
该文研究了(余)反射的等价性和可扩张性及应用,得到的主要结果如下:(1) 余反射余代数范畴和反射代数范畴是等价的.(2) 反射和余反射都具有可扩张性.使用这些结果可以用来推广和化简[1-4]中部分结论 相似文献
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We propose a random censorship model which permits uncertainty in the cause of death assessments for a subset of the subjects in a survival experiment. A nonparametric maximum likelihood approach and a “self-consistency” approach are considered. The solution sets corresponding to both approaches are found. They are infinite and identical. Only some of the solutions are consistent; i.e., the MLEs and self-consistent estimators are not consistent in general. Two estimates are thus proposed and their asymptotic properties are studied. It is shown that both estimates are strongly consistent and converge to Gaussian processes. The covariance structures of these Gaussian processes are derived. 相似文献
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Global depth, tangent depth and simplicial depths for classical and orthogonal regression are compared in examples, and properties that are useful for calculations are derived. The robustness of the maximum simplicial depth estimates is shown in examples. Algorithms for the calculation of depths for orthogonal regression are proposed, and tests for multiple regression are transferred to orthogonal regression. These tests are distribution free in the case of bivariate observations. For a particular test problem, the powers of tests that are based on simplicial depth and tangent depth are compared by simulations. 相似文献
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Ira M. Gessel 《Journal of Combinatorial Theory, Series A》2011,118(2):591-612
Point-determining graphs are graphs in which no two vertices have the same neighborhoods, co-point-determining graphs are those whose complements are point-determining, and bi-point-determining graphs are those both point-determining and co-point-determining. Bicolored point-determining graphs are point-determining graphs whose vertices are properly colored with white and black. We use the combinatorial theory of species to enumerate these graphs as well as the connected cases. 相似文献
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秩为1矩阵的性质及应用 总被引:1,自引:0,他引:1
给出了秩1矩阵的结构,讨论了这类矩阵在矩阵运算、对角化、标准型等方面的性质,推广和改进了文[1]的一些相关结果,并指出了它的若干应用,重点讨论了一类矩阵,得到了有关结论和方法. 相似文献
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Janusz J. Charatonik Patricia Pellicer Covarrubias 《Proceedings of the American Mathematical Society》2002,130(7):2145-2154
Covering mappings on the dyadic solenoid are studied. Some results stated by Zhou Youcheng (2000) are discussed in a more detailed way by indicating certain inaccuracies in their proofs. These are either corrected or supplemented, or else suitable counterexamples are constructed. Some open questions are asked and connections with related results are considered.
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In the Vlasov–Maxwell theory we prove that there are homogeneous equilibria that are monotone decreasing in every direction and are arbitrarily close to a Maxwellian. They are unstable under certain electromagnetic perturbations, but are stable under purely electric perturbations as well as under electromagnetic perturbations of sufficiently short period. These statements are valid both in the linear and nonlinear senses. 相似文献
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凹角型区域椭圆边值问题的自然边界归化 总被引:3,自引:0,他引:3
In this paper, the natural boundary reduction for some elliptic boundary value problems with concave angle domains and their natural boundary methods are investigated. The natural integral equations and the Poisson integral formulae are given. The finite element methods of the natural integral equations are discussed in details. The convergences of the approximate solutions and their error estimates are obtained. Finally, some numerical examples are presented to show that our methods are effective. 相似文献