Álgebras com identidades polinomiais

Abstract

In this work, basic definitions and results on Algebras with Polynomial Identities are introduced, some classic results of the theory that involve them are stated and demonstrated, such as the Amitsur-Levitzki Theorem, according to Rosset [4]. Furthermore, we describe a basis for the ideal of the Zn-graded identities of the matrix algebra n × n over a field of characteristic zero.