Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3
Abstract
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 completely the set of all polynomial identities with involution and the set of all central polynomials with involution for the Grassmann algebra E, when the involution * is arbitrary.
Afterwards, we describe the set of all polynomial identities with involution for the algebra of upper triangular matrices of order 3, UT_3(F), when F is an infinite field of characteristic p bigger or equal 3 and the involution is of the first type. Finally, given an arbitrary involution of the first type for UT_n(F), with n bigger or equal 3, we verify that its only central polynomials with involution are the trivial ones.
Collections
The following license files are associated with this item:
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Brazil
Related items
Showing items related by title, author, creator and subject.
-
Álgebra e formação docente : o que dizem os futuros professores de matemática
Pires, Flávio de Souza (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Educação - PPGE, , 13/02/2012)The main object of this study is the analysis of some speeches from a group of future Mathematics teachers from São Carlos, São Paulo State, in relation to algebraic language teaching in Basics Education. The question which ... -
Representações dos grupos simétrico e alternante e aplicações às identidades polinomiais
Fonseca, Marlon Pimenta (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 28/11/2014)In this dissertation we ll present a discussion about the Representations of the Symmetric Group Sn and Alternating Group An. We ll study basics results of the Young s Theory about the representations of the Symmetric Group ... -
Introdução ao estudo da álgebra no ensino fundamental
Pinheiro, Patricia Aparecida (Universidade Federal de São Carlos, UFSCar, Programa de Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, , 23/08/2013)This study is based on considerations regarding the teaching and learning of algebra in its introductory phase with seventh graders and eighth year of elementary school, having as final product an instructional sequence ...