Identidades polinomiais e polinômios centrais para álgebra de Grassmann.

Abstract

In this dissertation we study the ordinary polynomial identities for the Grassmann Algebra with unity, denoted by E, and without unity, denoted by E 0, for fields of characteristic di erent from 2. We also study the Z2-graded identities of the algebra E over elds of positive characteristic. Finaly, we describe the T-space of the central polynomials of E for fields of characteristic zero and also for fields of positive characteristic, moreover we describe the T-space of the central polynomials of E 0 for fields of positive characteristic.