Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3
Resumen
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.
Colecciones
El ítem tiene asociados los siguientes ficheros de licencia:
Excepto si se señala otra cosa, la licencia del ítem se describe como Attribution-NonCommercial-NoDerivs 3.0 Brazil
Ítems relacionados
Mostrando ítems relacionados por Título, autor o materia.
-
Estudos sobre A-identidades polinomiais
Naves, Fernando Augusto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 21/07/2021)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 ... -
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 ... -
Metodologia da resolução de problemas no planejamento de atividades para a transição da Aritmética para a Álgebra
Pimentel, Danilo Eudes (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE, , 13/03/2010)Difficulties in learning algebra found on high school, especially among students of the first year have motivated this research, in order to discover and understand the origins of the problem and consider proposals for ...