UCHÔA, P. N. A.; http://lattes.cnpq.br/9715785202847087; UCHÔA, Patrícia Naiara Araújo.
Abstract:
In this dissertation, we study the algebra with involution (M1,1(E), ∗), where ∗ is the
involution induced by the transposition superinvolution of the superalgebra of matrices
of order 2 over a field, their polynomial identities and their central polynomials with involution. Our goal is to determine a finite set of generators of the ideal of polynomial
identities with involution and also a set of polynomials that, together with the identities,
generate the space of the central polynomials with involution to M1,1(E), over a field with
characteristic zero.