T. C. Mello

collaborators

3 papers

math.RA2026

Images of polynomials with involution on $2 \times 2$ matrices

Lucio Centrone, Thiago Castilho de Mello

Let $F$ be a field and let $M_{2} (F)$ be the algebra of $2 \times 2$ matrices endowed with an involution of the first kind. We study the image of multilinear $*$ -pol…

math.RA2026

On nonmatrix varieties of associative rings

Thiago Castilho de Mello, Felipe Yukihide Yasumura

We study nonmatrix varieties of $k$ -algebras, where $k$ is a unital commutative ring. Our results extend to this generality known results for the case in which $\…

math.RA2025

Identities of relatively free algebras of Lie nilpotent associative algebras

Elitza Hristova, Thiago Castilho de Mello

In this paper, we consider the relatively free algebra of rank $n$ , $F_{n} (N_{p})$ , in the variety of Lie nilpotent associative algebras of index $p$ , denoted by $\mathfrak{…

Images of polynomials with involution on 2×2 matrices

On nonmatrix varieties of associative rings

Identities of relatively free algebras of Lie nilpotent associative algebras

Images of polynomials with involution on $2 \times 2$ matrices