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Non associative algebras and loops

Grant number: 23/06058-2
Support Opportunities:Scholarships abroad - Research
Effective date (Start): August 01, 2023
Effective date (End): January 31, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Alexandre Grichkov
Grantee:Alexandre Grichkov
Host Investigator: Liudmila Sabinina
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Research place: Universidad Autónoma del Estado de Morelos (UAEM), Mexico  

Abstract

During this period we intend to work on the following topics: 1. Simple Lie algebras over a field of characteristic 2. 2. Commutative Moufang Loops. 3. Code loops. 4. Steiner loops and finite geometries. 5. The finite exponent loop growth problem. 6. Malcev algebras and Moufang loopsanalytics. 7. Quasivariety of loops. As a main result of the visit, we hope to submit at least 3 articles, in collaboration with researchers from Mexico and visitors to Mexico during this period. (AU)

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