Gradings, automorphisms and identities in algebras

• Grant number: 18/15627-2
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2019
• End date: January 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Thiago Castilho de Mello
• Grantee: Thiago Castilho de Mello
• Host Institution: Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil
• Associated researchers: Diogo Diniz Pereira da Silva e Silva ; Irina Sviridova

Abstract

In this research project we want to study the form of the homogeneous automorphisms and involutions in graded matrix algebras and the relation between graded identities and weak equivalence of graded algebras. Also, we aim to study polynomial identities in relatively free algebras of finite rank of varieties of infinite basic rank. (AU)

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DE MELLO, THIAGO CASTILHO. Homogeneous involutions on upper triangular matrices. ARCHIV DER MATHEMATIK, v. 118, n. 4, p. 10-pg., 2022-03-10. (18/23690-6, 18/15627-2)

GARGATE, IVAN GONZALES; DE MELLO, THIAGO CASTILHO. IMAGES OF MULTILINEAR POLYNOMIALS ON n x n UPPER TRIANGULAR MATRICES OVER INFINITE FIELDS. Israel Journal of Mathematics, v. 252, n. 1, p. 18-pg., 2022-09-09. (18/15627-2, 18/23690-6)

CENTRONE, LUCIO; DINIZ, DIOGO; MELLO, THIAGO CASTILHO DE. Graded monomial identities and almost non-degenerate gradings on matrices. Linear Algebra and its Applications, v. 653, p. 20-pg., 2022-08-24. (18/02108-7, 18/15627-2, 18/23690-6)

KAYGORODOV, IVAN; ALVAREZ, MARIA ALEJANDRA; DE MELLO, THIAGO CASTILHO. Central extensions of 3-dimensional Zinbiel algebras. RICERCHE DI MATEMATICA, v. N/A, p. 27-pg., 2021-06-16. (18/15627-2, 19/03655-4)

KAYGORODOV, IVAN; ALVAREZ, MARIA ALEJANDRA; DE MELLO, THIAGO CASTILHO. Central extensions of 3-dimensional Zinbiel algebras. RICERCHE DI MATEMATICA, JUN 2021. (18/15627-2, 19/03655-4)