Search Results - "Castilho, Thiago"

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  1. 1

    Images of multilinear polynomials on n × n upper triangular matrices over infinite fields by Gargate, Ivan Gonzales, de Mello, Thiago Castilho

    Published in Israel journal of mathematics (01-12-2022)
    “…In this paper we prove that the image of multilinear polynomials evaluated on the algebra UT n ( K ) of n × n upper triangular matrices over an infinite field…”
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    Journal Article
  2. 2

    Central extensions of 3-dimensional Zinbiel algebras by Kaygorodov, Ivan, Alvarez, María Alejandra, Mello, Thiago Castilho de

    Published in Ricerche di matematica (01-11-2023)
    “…We describe all central extensions of all 3-dimensional nontrivial complex Zinbiel algebras. As a corollary, we have a full classification of 4-dimensional…”
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    Journal Article
  3. 3

    Homogeneous involutions on upper triangular matrices by Castilho de Mello, Thiago

    Published in Archiv der Mathematik (01-04-2022)
    “…Let K be a field of characteristic different from 2 and let G be a group. If the algebra U T n of n × n upper triangular matrices over K is endowed with a G…”
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  4. 4

    MB‐Isoster: A software for bioisosterism simulation by Elias, Thiago Castilho, de Oliveira, Humberto César Brandão, da Silveira, Nelson José Freitas

    Published in Journal of computational chemistry (05-11-2018)
    “…Bioisosterism is a technique used in medicinal chemistry to optimize lead compounds in drug research. One can replace a substituent group in original molecule…”
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  5. 5

    Graded polynomial identities for matrices with the transpose involution over an infinite field by Fonseca, Luís Felipe Gonçalves, Mello, Thiago Castilho de

    Published in Communications in algebra (03-04-2018)
    “…Let F be an infinite field and let Mn(F) be the algebra of n×n matrices over F endowed with an elementary grading whose neutral component coincides with the…”
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  6. 6

    Automorphisms of Ideals of Polynomial Rings by Macedo, Tiago, de Mello, Thiago Castilho

    “…Let R be a commutative integral domain with unit, f be a nonconstant monic polynomial in R [ t ], and I f ⊂ R [ t ] be the ideal generated by f . In this paper…”
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  7. 7
  8. 8

    Images of graded polynomials on matrix algebras by Centrone, Lucio, Castilho de Mello, Thiago

    Published in Journal of algebra (15-01-2023)
    “…The aim of this paper is to start the study of images of graded polynomials on full matrix algebras. We work with the matrix algebra Mn(K) over a field K…”
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  9. 9

    On star-homogeneous-graded polynomial identities of upper triangular matrices over an arbitrary field by Castilho de Mello, Thiago, Yasumura, Felipe Yukihide

    Published in Journal of algebra (01-02-2025)
    “…We study the graded polynomial identities with a homogeneous involution on the algebra of upper triangular matrices endowed with a fine group grading. We…”
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  10. 10

    Graded monomial identities and almost non-degenerate gradings on matrices by Centrone, Lucio, Diniz, Diogo, Castilho de Mello, Thiago

    Published in Linear algebra and its applications (15-11-2022)
    “…Let F be a field of characteristic zero, G be a group and Mn(F) be the algebra of matrices of size n with entries from F with a G-grading. Bahturin and Drensky…”
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  11. 11
  12. 12

    Images of graded polynomials on matrix algebras by Centrone, Lucio, de Mello, Thiago Castilho

    Published 28-07-2022
    “…J. Algebra, 614, 2023, 650-669 The aim of this paper is to start the study of images of graded polynomials on full matrix algebras. We work with the matrix…”
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  13. 13
  14. 14

    Homogeneous involutions on upper triangular matrices by de Mello, Thiago Castilho

    Published 07-09-2021
    “…Arch. Math. 118, 365-374 (2022) Let $K$ be a field of characteristic different from 2 and let $G$ be a group. If the algebra $UT_n$ of $n\times n$ upper…”
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    Journal Article
  15. 15

    Graded identities of block-triangular matrices by Diniz Pereira da Silva e Silva, Diogo, Castilho de Mello, Thiago

    Published in Journal of algebra (15-10-2016)
    “…Let F be an infinite field and UT(d1,…,dn) be the algebra of upper block-triangular matrices over F. In this paper we describe a basis for the G-graded…”
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  16. 16

    A new approach to the Lvov-Kaplansky conjecture through gradings by Gargate, Ivan Gonzales, de Mello, Thiago Castilho

    Published 11-10-2022
    “…Linear Algebra Appl., 674, 453-465, 2023 In this paper we consider images of (ordinary) noncommutative polynomials on matrix algebras endowed with a graded…”
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  17. 17

    A new approach to the Lvov-Kaplansky conjecture through gradings by Gargate, Ivan Gonzales, de Mello, Thiago Castilho

    Published in Linear algebra and its applications (01-10-2023)
    “…In this paper we consider images of (ordinary) noncommutative polynomials on matrix algebras endowed with a graded structure. We give necessary and sufficient…”
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  18. 18

    Minimal Varieties and Identities of Relatively Free Algebras by Gonçalves, Dimas José, Castilho de Mello, Thiago

    Published in Communications in algebra (02-12-2015)
    “…Let K be a field of characteristic zero and let 5 be the variety of associative algebras over K, defined by the identity [x 1 , x 2 ][x 3 , x 4 , x 5 ]. It is…”
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  19. 19

    Central extensions of 3-dimensional Zinbiel algebras by Alvarez, María Alejandra, de Mello, Thiago Castilho, Kaygorodov, Ivan

    Published 07-04-2021
    “…We describe all central extensions of all $3$-dimensional non-zero complex Zinbiel algebras. As a corollary, we have a full classification of $4$-dimensional…”
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    Journal Article
  20. 20

    Polynomial identities and images of polynomials on null-filiform Leibniz algebras by de Mello, Thiago Castilho, Souza, Manuela da Silva

    Published in Linear algebra and its applications (15-12-2023)
    “…In this paper we study identities and images of polynomials on null-filiform Leibniz algebras. If Ln is an n-dimensional null-filiform Leibniz algebra, we…”
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