Edit Profile (opens in new tab) Castilho de Mello, Thiago Co-Author Distance Author ID: castilho-de-mello.thiago Published as: Castilho de Mello, Thiago; de Mello, Thiago Castilho; de Mello, Thiago C. more...less External Links: MGP · ORCID · arXiv · ResearchGate Documents Indexed: 23 Publications since 2012, including 3 Additional arXiv Preprints Reviewing Activity: 17 Reviews Co-Authors: 13 Co-Authors with 21 Joint Publications 160 Co-Co-Authors all top 5 Co-Authors 2 single-authored 5 Centrone, Lucio 3 Fagundes, Pedro Souza 2 Diniz Pereira da Silva e Silva, Diogo 2 dos Santos, Pedro Henrique da Silva 2 Gargate, Ivan Gonzales 2 Gonçalves Fonseca, Luís Felipe 2 Koshlukov, Plamen Emilov 2 Yasumura, Felipe Yukihide 1 Alvarez, María Alejandra 1 Gonçalves, Dimas José 1 Kaygorodov, Ivan 1 Macedo, Tiago 1 Souza, Manuela da Silva all top 5 Serials 4 Linear Algebra and its Applications 3 Journal of Algebra 2 Communications in Algebra 2 Linear and Multilinear Algebra 1 Israel Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Archiv der Mathematik 1 Ricerche di Matematica 1 Turkish Journal of Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Operators and Matrices 1 Communications in Mathematics all top 5 Fields 19 Associative rings and algebras (16-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 3 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 54 times in 39 Documents Cited by ▼ Year ▼ Images of multilinear polynomials of degree up to four on upper triangular matrices. Zbl 1432.16023 Fagundes, Pedro S.; de Mello, Thiago C. 14 2019 Graded identities of block-triangular matrices. Zbl 1355.16015 Pereira da Silva e Silva, Diogo Diniz; Castilho de Mello, Thiago 7 2016 Images of multilinear polynomials on \(n \times n\) upper triangular matrices over infinite fields. Zbl 1525.16022 Gargate, Ivan Gonzales; de Mello, Thiago Castilho 6 2022 On \(\mathbb Z_n\)-graded identities of block-triangular matrices. Zbl 1321.16012 Centrone, Lucio; Castilho de Mello, Thiago 5 2015 Central extensions of 3-dimensional Zinbiel algebras. Zbl 07754375 Kaygorodov, Ivan; Alvarez, María Alejandra; de Mello, Thiago Castilho 4 2023 Degree-inverting involutions on matrix algebras. Zbl 1391.16051 Gonçalves Fonseca, Luís Felipe; Castilho de Mello, Thiago 3 2018 On the polynomial identities of the algebra \(M_{11}(E)\). Zbl 1292.16014 Koshlukov, Plamen; Castilho de Mello, Thiago 3 2013 The image of multilinear polynomials evaluated on \(3 \times 3\) upper triangular matrices. Zbl 1490.16064 de Mello, Thiago Castilho 2 2021 The centre of generic algebras of small PI algebras. Zbl 1291.16013 Koshlukov, Plamen; Castilho de Mello, Thiago 2 2013 On the Mesyan conjecture. Zbl 1525.15015 Fagundes, Pedro Souza; Castilho de Mello, Thiago; dos Santos, Pedro Henrique da Silva 2 2022 On the factorization of \(T_G\)-ideals of graded matrix algebras. Zbl 1446.16024 Centrone, Lucio; Castilho de Mello, Thiago 2 2018 Minimal varieties and identities of relatively free algebras. Zbl 1339.16025 Gonçalves, Dimas José; Castilho de Mello, Thiago 1 2015 A new approach to the Lvov-Kaplansky conjecture through gradings. Zbl 07712351 Gargate, Ivan Gonzales; de Mello, Thiago Castilho 1 2023 Images of graded polynomials on matrix algebras. Zbl 1516.16018 Centrone, Lucio; Castilho de Mello, Thiago 1 2023 Graded polynomial identities for matrices with the transpose involution over an infinite field. Zbl 1440.16025 Gonçalves Fonseca, Luís Felipe; Castilho de Mello, Thiago 1 2018 Central extensions of 3-dimensional Zinbiel algebras. Zbl 07754375 Kaygorodov, Ivan; Alvarez, María Alejandra; de Mello, Thiago Castilho 4 2023 A new approach to the Lvov-Kaplansky conjecture through gradings. Zbl 07712351 Gargate, Ivan Gonzales; de Mello, Thiago Castilho 1 2023 Images of graded polynomials on matrix algebras. Zbl 1516.16018 Centrone, Lucio; Castilho de Mello, Thiago 1 2023 Images of multilinear polynomials on \(n \times n\) upper triangular matrices over infinite fields. Zbl 1525.16022 Gargate, Ivan Gonzales; de Mello, Thiago Castilho 6 2022 On the Mesyan conjecture. Zbl 1525.15015 Fagundes, Pedro Souza; Castilho de Mello, Thiago; dos Santos, Pedro Henrique da Silva 2 2022 The image of multilinear polynomials evaluated on \(3 \times 3\) upper triangular matrices. Zbl 1490.16064 de Mello, Thiago Castilho 2 2021 Images of multilinear polynomials of degree up to four on upper triangular matrices. Zbl 1432.16023 Fagundes, Pedro S.; de Mello, Thiago C. 14 2019 Degree-inverting involutions on matrix algebras. Zbl 1391.16051 Gonçalves Fonseca, Luís Felipe; Castilho de Mello, Thiago 3 2018 On the factorization of \(T_G\)-ideals of graded matrix algebras. Zbl 1446.16024 Centrone, Lucio; Castilho de Mello, Thiago 2 2018 Graded polynomial identities for matrices with the transpose involution over an infinite field. Zbl 1440.16025 Gonçalves Fonseca, Luís Felipe; Castilho de Mello, Thiago 1 2018 Graded identities of block-triangular matrices. Zbl 1355.16015 Pereira da Silva e Silva, Diogo Diniz; Castilho de Mello, Thiago 7 2016 On \(\mathbb Z_n\)-graded identities of block-triangular matrices. Zbl 1321.16012 Centrone, Lucio; Castilho de Mello, Thiago 5 2015 Minimal varieties and identities of relatively free algebras. Zbl 1339.16025 Gonçalves, Dimas José; Castilho de Mello, Thiago 1 2015 On the polynomial identities of the algebra \(M_{11}(E)\). Zbl 1292.16014 Koshlukov, Plamen; Castilho de Mello, Thiago 3 2013 The centre of generic algebras of small PI algebras. Zbl 1291.16013 Koshlukov, Plamen; Castilho de Mello, Thiago 2 2013 all cited Publications top 5 cited Publications all top 5 Cited by 45 Authors 14 Castilho de Mello, Thiago 6 Wang, Yu 5 Diniz Pereira da Silva e Silva, Diogo 4 Centrone, Lucio 4 Fidelis, Claudemir 4 Koshlukov, Plamen Emilov 3 Luo, Yingyu 3 Yasumura, Felipe Yukihide 2 Franca, Willian 2 Gargate, Ivan Gonzales 2 Kaygorodov, Ivan 2 Urure, Ronald Ismael Quispe 2 Zhou, Jia 1 Bai, Jie 1 Benayadi, Saïd 1 Bernardo, Leomaques 1 Brešar, Matej 1 Camacho, Luisa Maria 1 Ceballos, Manuel 1 Chen, Qian 1 Cruz, J. Pedro 1 da Fonseca, Lais S. 1 dos Santos, Pedro Henrique da Silva 1 Fagundes, Pedro Souza 1 Fernández Ouaridi, Amir 1 Gonçalves Fonseca, Luís Felipe 1 Gonçalves, Dimas José 1 Ismailov, Nurlan A. 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Liu, Panpan 1 Malev, Sergey 1 Mashurov, Farukh A. 1 Mhamdi, Fahmi 1 Mota, Sérgio 1 Navarro, Rosa María 1 Panja, Saikat 1 Prasad, Sachchidanand 1 Ribeiro Tomaz da Silva, Viviane 1 Rowen, Louis Halle 1 Santulo, Ednei Aparecido jun. 1 Šemrl, Peter 1 Smadyarov, Nurken 1 Souza, Manuela da Silva 1 Towers, David A. 1 Yavich, Roman all top 5 Cited in 18 Serials 7 Linear Algebra and its Applications 6 Journal of Algebra 4 Communications in Algebra 4 Linear and Multilinear Algebra 3 Algebras and Representation Theory 2 Archiv der Mathematik 1 Israel Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 International Journal of Algebra and Computation 1 Turkish Journal of Mathematics 1 The New York Journal of Mathematics 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Operators and Matrices 1 Communications in Mathematics Cited in 5 Fields 34 Associative rings and algebras (16-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 9 Nonassociative rings and algebras (17-XX) 2 Commutative algebra (13-XX) 1 Field theory and polynomials (12-XX) Citations by Year