10 papers · 1 filter
Algebras with bounded multiplicities of the central cocharacters
Wesley Q. Cota, Luiz H. S. Matos, Breno O. Souza
Let be an associative PI-algebra over a field of characteristic zero. The central polynomials of give rise to a sequence of -characters, calle…
Group gradings, graded identities and central polynomials of algebras with almost polynomial -growth
Wesley Quaresma Cota, Daniela Martinez Correa
The finite-dimensional -algebras and $D_0=Fe_{22}+Fe_{33}+Fe_{12}+Fe_{13}+Fe_{14}+Fe_{23}+Fe_{24}+Fe_{34} \su…
Varieties of associative algebras with quadratic codimension growth
Wesley Quaresma Cota, Luiz Henrique de Souza Matos, Pedro Quintino
We classify, up to PI-equivalence, associative algebras over a field of characteristic zero whose codimension sequences have quadratic growth. More precisely, making use of fundame…
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 ,…
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…
Minimal varieties of algebras with graded involution and quadratic growth
Wesley Quaresma Cota, Ana Cristina Vieira
Subalgebras of upper triangular matrix algebras have played a fundamental role in the classification of minimal varieties of polynomial growth. Such classification has become a sou…
Graded algebras with homogeneous involution and varieties of almost polynomial growth
Wesley Quaresma Cota, Felipe Yasumura
An important aspect in the theory of algebras with polynomial identities is the study of the asymptotic behavior of the codimension sequence which measures the…
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…