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Estudos sobre A-identidades polinomiais
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2021-07-21)
The aim of this work is to study A-identities in associative algebras. More specifically, we study the A-identities of the tensor square of the unitary and infinite dimensional Grassmann algebra E, denoted by R, and we ...
Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2020-11-30)
Let F be an infinite field of characteristic different from 2. In this thesis we will study the polynomial identities and central polynomials with involution for two important classes of algebras. More precisely, we describe ...
Álgebras de Hopf, objetos galois e identidades polinomiais
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2018-02-21)
Our main goal is to study Hopf algebras and Galois objects, from the point of view of
the polynomial identities, more precisely how these objects are distinguished by their
polynomial H-identities. To this end we follow ...
Zero sets of bivariate Hermite polynomials
(Elsevier B.V., 2015-01-01)
We establish various properties for the zero sets of three families of bivariate Hermite polynomials. Special emphasis is given to those bivariate orthogonal polynomials introduced by Hermite by means of a Rodrigues type ...
Zero sets of bivariate Hermite polynomials
(Elsevier B.V., 2015)