A. Ioppolo

activity

20202026

most citedTrace identities and almost polynomial growth

9 citations · 9 across the 3 of their papers we have counts for

collaborators

5 papers

math.RA2026

$W$ -algebras with involution: polynomial identities and asymptotic growth

Ginevra Giordani, Antonio Ioppolo, Carla Rizzo

Let $W$ be an algebra with involution over a field of characteristic zero. We develop a theory of $W$ -polynomial identities with involution for finite-dimensional $(W, *)$ -algebras…

math.RA2025

Upper triangular matrices with superinvolution: identities and images of multilinear polynomials

Elena Campedel, Pedro Fagundes, Antonio Ioppolo

In this paper we consider the algebra of upper triangular matrices UT $_{n} (F)$ , endowed with a $Z_{2}$ -grading (superalgebra) and equipped with a superinvolution. These struct…

math.RA2024

Codimensions of algebras with pseudoautomorphism and their exponential growth

Elena Campedel, Ginevra Giordani, Antonio Ioppolo

Let $F$ be a fixed field of characteristic zero containing an element $i$ such that $i^{2} = - 1$ . In this paper we consider finite dimensional superalgebras over $F$ endowed with a p…

math.RA2020

Matrix algebras with degenerate traces and trace identities

Antonio Ioppolo, Plamen Koshlukov, Daniela La Mattina

In this paper we study matrix algebras with a degenerate trace in the framework of the theory of polynomial identities. The first part is devoted to the study of the algebra $D_{n}$ …

math.RA2020★ 9 cited

Trace identities and almost polynomial growth