CV Lattes
ORCID
Google Scholar Citations
Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Matemática from Universidade Estadual do Sudoeste da Bahia (2016), master's at Matemática Aplicada from Universidade Federal de São Paulo (2019) and doctorate at Mathematics from Universidade Estadual de Campinas (2024). Has experience in Mathematics, focusing on Mathematics, acting on the following subjects: linguagem, latex and editor de textos. (Source: Lattes Curriculum)
| News published in Agência FAPESP Newsletter about the researcher |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |
This research project aims to study images of polynomials on certain algebras and related topics.The first two parts of the project aims to study the images of multilinear polynomials on the algebra of upper triangular matrices, both in the cases of a Z_2-grading and superinvolutions. The third goal concerns to search for a description of commutators on certain finite-dimensional associat…
In this research proposal we plan to study the following problem. Let R be an associative ring suc that RR_1R_2 where R_1 and R_2 are subrings of R. The sum need not be direct nor R_1 and/or R_2 need be ideals in R. Suppose tat R_1 and R_2 both satisfy polynomial identities (PI), can one conclude R is a PI ring or not. This problem is quite old, there is an extensive list of papers dealin…
The Lvov-Kaplansky conjecture states that the image of the matrix algebra $M_n(F)$, by a multilinear polynomial is a vector subspace of $M_n(F)$. There are many results in the literature, specially in the last 4 years, with partial answers for such problem and also for generalizations for some non-associative matrix algebras. The aim of this project is a detailed study of such results, a…
The Lvov-Kaplansky conjecture states that the image of a multilinear polynomial on the full matrix algebra is a vector subspace. The purpose of this research project is to study a variation of the aforementioned conjecture in the context of multilinear polynomials on the involution algebras UT_2 and UT_3. (AU)
In this research project, we aim to study the image of multilinear polynomials on some subalgebras of matrix algebras, such as the algebra of upper triangular matrices and other related problems.
| 1 / 1 | Ongoing grants |
| 2 / 2 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 5 / 5 | All research grants and scholarships |
| Associated processes | |