PI-algebras over arbitrary fields

• Grant number: 25/11605-8
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: November 01, 2025
• End date: October 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Daniela Martinez Correa
• Supervisor: Yuri Bahturin
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Memorial University of Newfoundland (MUN), Canada
• Associated to the scholarship: 24/01338-0 - Specht property and graded polynomial identities for some non-associative algebras, BP.PD

Abstract

This project has the following goal: study the finite basis problem for finite graded algebras. Consider G a finite abelian group and let F be a finite field.The project can be divided in two problems:* Investigate if any G-graded finite associative algebra over F admits afinite basis of graded polynomial identities.* Study if any G-graded finite Lie algebra over F admits a finite basis ofgraded polynomial identities. (AU)