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Thiago Castilho de Mello
Thiago Castilho de Mello
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Images of multilinear polynomials of degree up to four on upper triangular matrices
PS Fagundes, TC de Mello
Operators and Matrices 13 (1), 283–292, 2019
252019
Images of multilinear polynomials on n× n upper triangular matrices over infinite fields
IG Gargate, TC de Mello
Israel Journal of Mathematics, 1-18, 2022
212022
Central extensions of 3-dimensional Zinbiel algebras
I Kaygorodov, MA Alvarez, TC Mello
Ricerche di Matematica 72 (2), 921-947, 2023
122023
Graded identities of block-triangular matrices
D Diniz, TC de Mello
Journal of Algebra 464, 246-265, 2016
9*2016
On ℤ n-graded identities of block-triangular matrices
L Centrone, TC de Mello
Linear and Multilinear Algebra 63 (2), 302-313, 2015
82015
Degree-inverting involutions on matrix algebras
LF Gonçalves Fonseca, TC de Mello
Linear and Multilinear Algebra 66 (6), 1104-1120, 2018
72018
On the Mesyan conjecture
PS FAGUNDES, TCDE MELLO, PHDASDOS SANTOS
Turkish Journal of Mathematics 46 (5), 1794-1808, 2022
62022
The image of multilinear polynomials evaluated on upper triangular matrices
TC Mello
Communications in Mathematics 29 (2), 183-186, 2021
62021
Graded polynomial identities for matrices with the transpose involution over an infinite field
LFG Fonseca, TC Mello
Communications in Algebra 46 (4), 1630–1640, 2018
62018
On the polynomial identities of the algebra M11 (E)
P Koshlukov, TC de Mello
Linear Algebra and its Applications 438 (11), 4469-4482, 2013
52013
On the factorization of TG-ideals of graded matrix algebras
L Centrone, TC de Mello
Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 59 …, 2018
32018
The centre of generic algebras of small PI algebras
P Koshlukov, TC de Mello
Journal of Algebra 375, 109-120, 2013
32013
Images of graded polynomials on matrix algebras
L Centrone, TC de Mello
Journal of Algebra 614, 650-669, 2023
22023
Homogeneous involutions on upper triangular matrices
T Castilho de Mello
Archiv der Mathematik, 1-10, 2022
22022
A new approach to the Lvov-Kaplansky conjecture through gradings
IG Gargate, TC de Mello
Linear Algebra and its Applications, 2023
12023
Graded monomial identities and almost non-degenerate gradings on matrices
L Centrone, D Diniz, TC de Mello
Linear Algebra and its Applications 653, 246-265, 2022
12022
Minimal Varieties and Identities of Relatively Free Algebras
DJ Gonçalves, T Castilho de Mello
Communications in Algebra 43 (12), 5217-5235, 2015
12015
On star-homogeneous-graded polynomial identities of upper triangular matrices over an arbitrary field
TC de Mello, FY Yasumura
arXiv preprint arXiv:2402.02671, 2024
2024
Polynomial identities and images of polynomials on null-filiform Leibniz algebras
TC de Mello, M da Silva Souza
Linear Algebra and its Applications 679, 246-260, 2023
2023
The Image of Polynomials in One Variable on the Algebra of 3× 3 Upper Triangular Matrices
TC de Mello, DN Rodrigues
International Conference on Non-Associative Algebras and Related Topics, 185-210, 2023
2023
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