Considere um corpo de característica zero e a álgebra de Lie das matrizes de ordem 2 com traço zero sobre esse corpo. A menos de isomorfismo, esta álgebra pode ser munida de três graduações não triviais. Nesta dissertação ...

This work aims to give a description, under certain hypothesis, of the graded simple algebras and prove that they are determined by their graded identities. For this, we study the papers [3] and [19]. More precisely we ...

In this thesis, the main object of study is the class of the (G, ∗)-algebras, that is, algebras graded by a group G and endowed with a graded involution ∗. Firstly, we study the algebraic structure of the (G, ∗)-algebras. ...