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N. A. Koreshkov 《Russian Mathematics (Iz VUZ)》2010,54(2):28-32
We obtain conditions for the nilpotency of finite-dimensional n-tuple Lie algebras and finite-dimensional associative n-tuple algebras. The established conditions are analogous to theorems of Engel and Wedderburn for Lie algebras and associative algebras. 相似文献
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Muhammad Ahsan Banyamin Gerhard Pfister Stefan Steidel 《Central European Journal of Mathematics》2012,10(1):271-276
In this article we describe our experiences with a parallel Singular implementation of the signature of a surface singularity defined by z N + g(x; y) = 0. 相似文献
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Monica Nevins 《Algebras and Representation Theory》2011,14(1):161-190
We relate the partition-type parametrization of rational (arithmetic) nilpotent adjoint orbits of the classical groups SL n and Sp2n over local non-Archimedean fields with a parametrization, introduced by DeBacker in 2002, which uses the associated Bruhat-Tits building to relate the question to one over the residue field. 相似文献
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Jiyu Zhong 《Annali dell'Universita di Ferrara》2010,56(1):195-205
A n-order iterative functional equation is considered for set-value function in a nonempty convex compact subset D in Banach space. A result on the existence and uniqueness of its solution is presented without monotonicity. Besides, continuous dependence of the solution upon the given function is obtained. 相似文献
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A. A. Duyunova 《Russian Mathematics (Iz VUZ)》2012,56(2):37-49
We consider a three-web on a smooth manifold formed by two n-parameter families of curves and a one-parameter family of hypersurfaces. For such webs, we define a family of adapted frames, find the systemof structure equations, and study the differential-geometric objects that arise in differential neighborhoods up to the third order. We prove that each system of ordinary differential equations (SODE) uniquely defines a three-web. This allows us to describe properties of a SODE in terms of the corresponding three-web. In particular, we characterize autonomous SODE. 相似文献
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G. Gu H. Mansouri M. Zangiabadi Y. Q. Bai C. Roos 《Journal of Optimization Theory and Applications》2010,145(2):271-288
We present several improvements of the full-Newton step infeasible interior-point method for linear optimization introduced by Roos (SIAM J. Optim. 16(4):1110–1136, 2006). Each main step of the method consists of a feasibility step and several centering steps. We use a more natural feasibility step, which targets the μ +-center of the next pair of perturbed problems. As for the centering steps, we apply a sharper quadratic convergence result, which leads to a slightly wider neighborhood for the feasibility steps. Moreover, the analysis is much simplified and the iteration bound is slightly better. 相似文献
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Renata Wiertelak 《Periodica Mathematica Hungarica》2011,63(1):71-79
A generalization of density point with respect to category and I(J)-density topology has been presented in [5]. This papers deals with some basic properties of the corresponding I(J)-approximately continuous functions and gives answer when these functions are of the first Baire class and when they are Darboux functions. 相似文献
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N. E. Shavgulidze 《Journal of Mathematical Sciences》2010,171(5):682-692
We consider the plane deformation of an infinite body with a cylindrical inclusion whose mechanical and thermophysical characteristics differ from those of the material of the body for a heat flow and tensile forces given far from the inclusion. Stress intensity factors in the vicinity of a crack located on the continuation of the diameter of the inclusion are determined by the solution of a singular integral equation using the method of mechanical quadratures. We investigate the ratio of the length of the crack to the distance between it and the inclusion at which the regular kernel of the integral equation can be neglected in calculations. In this case, analytic formulas for the determination of the stress intensity factors are obtained. 相似文献
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E. B. Tomashevskaya 《Journal of Mathematical Sciences》2012,182(4):552-559
A lower bound for Diophantine approximations to linear combination of the numbers log(5/3) and (1/√15) arctan(1/√15) is obtained. 相似文献
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Let p be a prime number, p > 2. A closed Riemann surface which can be realized as a p-sheeted covering of the Riemann sphere is called p-gonal, and such a covering is called a p-gonal morphism. If the p-gonal morphism is a cyclic regular covering, the Riemann surface is called a cyclic p-gonal Riemann surface. Accola showed that if the genus is greater than (p − 1)2 the p-gonal morphism is unique. Using the characterization of p-gonality by means of Fuchsian groups we show that there exists a uniparametric family of cyclic p-gonal Riemann surfaces of genus (p − 1)2 which admit two p-gonal morphisms. In this work we show that these uniparametric families are connected spaces and that each of them is the Riemann sphere without three points. We study the Hurwitz space of pairs (X, f), where X is a Riemann surface in one of the above families and f is a p-gonal morphism, and we obtain that each of these Hurwitz spaces is a Riemann sphere without four points. 相似文献
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M. V. Shchukin 《Russian Mathematics (Iz VUZ)》2011,55(7):81-88
In this paper we consider n-homogeneous C*-algebras generated by idempotents. We prove that a finitely generated unital n-homogeneous (when n is greater than or equals 2) C*-algebra A can be generated by a finite set of idempotents if and only if the algebra A contains at least one nontrivial idempotent. 相似文献
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