Search Results - "Castilho, Thiago"
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Images of multilinear polynomials on n × n upper triangular matrices over infinite fields
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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Central extensions of 3-dimensional Zinbiel algebras
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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3
Homogeneous involutions on upper triangular matrices
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
MB‐Isoster: A software for bioisosterism simulation
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
Graded polynomial identities for matrices with the transpose involution over an infinite field
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
Automorphisms of Ideals of Polynomial Rings
Published in Boletim da Sociedade Brasileira de Matemática (01-03-2018)“…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
On the Mesyan conjecture
Published in Turkish journal of mathematics (01-01-2022)Get full text
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8
Images of graded polynomials on matrix algebras
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
On star-homogeneous-graded polynomial identities of upper triangular matrices over an arbitrary field
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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Graded monomial identities and almost non-degenerate gradings on matrices
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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An in silico Study of Benzophenone Derivatives as Potential Non-Competitive Inhibitors of Trypanosoma cruzi and Leishmania Amazonensis Cysteine Proteinases
Published in Journal of the Brazilian Chemical Society (01-03-2018)“…This study investigates the mechanisms of interaction between benzophenone derivatives and cruzain and Llacys1 (the protein expressed by cysteine protease gene…”
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12
Images of graded polynomials on matrix algebras
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
Biocompatibility of hydrogel derived from equine tendon extracellular matrix in horses subcutaneous tissue
Published in Frontiers in bioengineering and biotechnology (08-01-2024)“…Tendinopathies account for a substantial proportion of musculoskeletal injuries. To improve treatment outcomes for partial and total tendon ruptures, new…”
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14
Homogeneous involutions on upper triangular matrices
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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15
Graded identities of block-triangular matrices
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
A new approach to the Lvov-Kaplansky conjecture through gradings
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
A new approach to the Lvov-Kaplansky conjecture through gradings
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
Minimal Varieties and Identities of Relatively Free Algebras
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
Central extensions of 3-dimensional Zinbiel algebras
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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20
Polynomial identities and images of polynomials on null-filiform Leibniz algebras
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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