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Graduações e identidades polinomiais graduadas para a álgebra de matrizes triangulares superiores
(Universidade Federal de São Carlos, 2020-12-03)
Let F be a field and let G be a group. Denote by UTn(F) the algebra of n × n upper triangular matrices over F.
The mathematicians Valenti and Zaicev described all G-gradings on UTn(F), and the mathematicians Di Vincenzo, ...
Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3
(Universidade Federal de 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 ...