Basic superrank and subvarieties of T-prime algebras.

• Grant number: 12/16838-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: December 01, 2012
• End date: October 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Thiago Castilho de Mello
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In this research project we aim to study the subvarieties of the variety generated by the T-prime algebra $M_{1,1}(E)$ over a field of characteristic zero.We are also interested in obtaining results about the basic superrank of the variety generated by T-prime algebras of infinite basic rank.

Scientific publications

(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)

GONCALVES, DIMAS JOSE; DE MELLO, THIAGO CASTILHO. MINIMAL VARIETIES AND IDENTITIES OF RELATIVELY FREE ALGEBRAS. COMMUNICATIONS IN ALGEBRA, v. 43, n. 12, p. 5217-5235, 2015. (12/16838-0)

CENTRONE, LUCIO; DE MELLO, THIAGO CASTILHO. On the factorization of T-G-ideals of graded matrix algebras. BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, v. 59, n. 3, p. 597-615, SEP 2018. (15/08961-5, 13/06752-4, 12/16838-0)

CENTRONE, LUCIO; DE MELLO, THIAGO CASTILHO. On DOUBLE-STRUCK CAPITAL Z(n)-graded identities of block-triangular matrices. LINEAR & MULTILINEAR ALGEBRA, v. 63, n. 2, p. 302-313, FEB 1 2015. (12/16838-0)