Simple right alternative superalgebras with some conditions on even parts

• Grant number: 17/04846-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 01, 2017
• End date: August 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Oleg Shashkov
• Visiting researcher institution: Financial University under the Government of the Russian Federation, Russia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

The main objective of the project is to confirm the conjecture that every simple finite-dimensional right alternative unital superalgebra with associative-commutative even part is either associative or a superalgebra of Abelian type. It is also planned to study simple finite-dimensional right alternative superalgebras whose even part has a zero square. (AU)

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)

PCHELINTSEV, S. V.; SHASHKOV, O. V.. Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero. IZVESTIYA MATHEMATICS, v. 82, n. 3, p. 578-595, 2018. (17/04846-2)

PCHELINTSEV, V, S.; SHASHKOV, V, O.; SHESTAKOV, I. P.. Right alternative bimodules over Cayley algebra and coordinatization theorem. Journal of Algebra, v. 572, p. 111-128, APR 15 2021. (17/04846-2, 18/23690-6)