3125765 documents found, page 8454 of 312577
Ideais Primitivos e o Módulo Conormal
Junior., Reginaldo Amaral CordeiroIn this work, our main objective is to introduce and investigate certain properties of the so-called primitive ideals of Pellikaan-Siersma, including a version relative to a pair of ideals and a generalization to higher order due to Jiang-Simis, as well as to apply such theory to the study of the conormal module M of an ideal in a quotient ring, with focus on an adequate description of its torsion part T(M) and...
Invariante de Makar-Limanov de certas hipersuperfícies algébricas
Diniz., Renato dos SantosThe Makar-Limanov invariant ML(B) of an a-ne k-algebra B (with k a -eld, which will be typically assumed to be of characteristic zero) is a very important invariant, defined in terms of the kernels of suitable derivations of B called locally nilpotent derivations. The theme has connections to various central problems in Commutative Algebra, for instance, the Jacobian Conjecture, the Fourteenth Hilbert's Problem...
Problemas de máximo e mínimo na geometria euclidiana
Santos, Ednaldo Sena dosThis work presents a research on problems of maxima and minima of the Euclidean geometry. Initially we present some preliminary results followed by statements that in essence use basic concepts of geometry. Below are some problems of maximizing area and minimizing perimeter of triangles and convex polygons, culminating in a proof of the isoperimetric inequality for polygons and review the general case. Solve so...
Álgebras de Clifford: uma introdução à Geometria Spin
Sousa., Mônica Paula deIn this work we discuss the concepts and definitions that construct Clifford algebras focusing on a introduction the theory Spin Geometry. That s because the connection this two subject, enabling such algebras know the measure that helps to understand the definition of spin manifold, concept introductory the this special topic in Riemannian Geometry. We begin with the construction of Clifford algebras associate...
Fases Geométricas e suas relações com a Teoria de Fibrados e Representação de G...
Carvalho Neto, Osvaldo FernandesWe present the own mathematic formalism to, first of all, study the holonomy interpretations of the adiabatic geometric phase presented by Berry-Simon and Aharanov-Anadan and, after this, the similirities found with the theory of representation groups, particularly, with the Borel-Weil-Bott theorem. These relations are made through classification of complex bundle line, and these results are used to introduce a...
Fecho Integral de Módulos e Equisingularidade de Espaços Analíticos Complexos
Arruda, Rodrigo Alves de OliveiraNeste trabalho provamos o Teorema algebro-geométrico de Ganey, o qual caracteriza completamente as condições de Whitney de famílias de espaços analíticos complexos com singularidades arbitrárias em termos do fecho integral de módulos naturalmente associados a estas famílias.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Neste trabalho provamos o Teorema algebro-geométrico de Ganey, o qual caract...
Regularidade de Soluções de Uma Classe de Problemas Elípticos Semi-lineares
Clemente, Rodrigo GenuinoWe start studing semi-stable solutions for the equation u = f(u) in a smooth and bounded domain of Rn, 2 n 4. The presented result is a L1 boundedness, which holds for all semi-stable positive solution and all non-linearity f. We also show a approach about the case u = f(u) in the unitary ball of Rn. The results obtained are Lq and Wk;q estimates for semi-stable radial solutions u 2 H1 0 , the proof of a bounde...
A conjectura de Lazer-McKenna para problemas de Ambrosetti-Prodi
Silva, Maria do Desterro Azevedo daIn this paper, we study questions related to the existence and multiplicity of solutions to problems of Ambrosetti-Prodi type. We present the conjecture of Lazer- McKenna, checking its validity in the one dimensional case. To obtain our results, we use essentially topological, variational and sub and supersolution methods.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Neste trabalho, est...
Existência e Multiplicidade de Soluções Autossimilares para uma Equação do Calor
Carvalho, Gilson Mamede deIn this work, we obtain existence, nonexistence and multiplicity of solutions for the elliptic partial differential equation u 1 2 (x:ru) + "jujp1u = u; x 2 RN; where N 3, " = 1, > 0 and 1 < p (N + 2)=(N 2). Such equation is obtained when we look for self-similar solutions for certain nonlinear heat equations. To obtain the main results, we use variational methods, more precisely, minimization arguments, Lagran...
Equações Elípticas com não Linearidade Singular que Modelam MEMSs Eletrostáticos
Silva, Esteban Pereira daHere we study a class of semilinear elliptic equations with nonlinearity of an inverse square type. This equations arise, in applications, on the modeling of certain electrostatic devices from microtechnology, MEMS - Micro Electro Mechanical Systems. More precisely, these equations characterizes the function that represents the deformation of a deformable capacitor under the influence of an applied voltage. The...