Resumo:
Let K be an infinite field of characteristic , 2, E is the infinite-dimensional
Grassmann algebra over this field, and φ is an involution on E. Based primarily on [1],
in this work, we present a description of the sets of ∗−polynomial identities, Id(E, φ),
and the sets of ∗−central polynomials, C(E, φ), for the cases of characteristic 0 and
characteristic p > 2. Furthermore, we show that if p > 2, then C(E, φ) is not finitely
generated as a T(∗)-space.