Identidades polinomiais Zn-graduadas da álgebra Mn(F)

Abstract

In this works we will study G-graded algebras and G-graded polynomial identities, where G is an additive group. For main result we will describe a finite basis for Zn-graded polynomial identities of the matrix algebra of order n x n, with entries in a field F, This study will be divided into two stages: when the field F has characteristic zero and when the field F is infinite. These results were described by Vasilovsky [18] in 1999 and Azevedo [2] in 2006.