8 papers
Fundamental Algebras and Varieties with Quadratic Codimension Growth
Wesley Quaresma Cota
We classify, up to PI-equivalence, associative algebras over a field of characteristic zero whose codimension sequences have quadratic growth. The decisive step is a structural des…
Group graded algebras and varieties with quadratic codimension growth
Wesley Quaresma Cota
Let be an associative algebra graded by a finite group over a field of characteristic zero. One associates to the sequence of -graded codimensions ,…
A structural classification of algebras with graded involution and quadratic codimension growth
Wesley Quaresma Cota, Luiz Henrique de Souza Matos, Ana Cristina Vieira
The theory of algebras with polynomial identities has developed significantly, with special attention devoted to the classification of varieties according to the asymptotic behavio…
On the multiplicities of the central cocharacter of algebras with polynomial identities
Wesley Quaresma Cota, Thais Silva do Nascimento
For an associative algebra over a field of characteristic zero, let and denote the spaces of multilinear polynomials of degree modulo the polynomial ide…
Quadratic codimension growth and minimal varieties of unitary algebras with superinvolution
Wesley Quaresma Cota, Luiz Henrique de Souza Matos
Let be an associative algebra with a superinvolution over a field of characteristic zero, and let , , denote its sequence of -codimensions. I…
On the colength sequence of algebras with graded involution
Wesley Quaresma Cota, Rafael Bezerra dos Santos, Ana Cristina Vieira
In recent years, many results have been established regarding classifications of varieties whose colength sequences are bounded by a fixed constant. In this work, we explore this t…