From graded algebras to crossed products

• Grant number: 17/23242-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 24, 2018
• End date: April 23, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Mikhailo Dokuchaev
• Grantee: Mikhailo Dokuchaev
• Visiting researcher: Fernando Raúl Abadie Vicens
• Visiting researcher institution: Universidad de la República (UDELAR), Uruguay
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 15/09162-9 - Non commutative algebra and applications, AP.TEM

Abstract

Our purpose is to prove, for a certain large class of algebras graded by a group, that each element of the class is Morita equivalent to an algebra, which is strongly graded by the same group. The determination of this class is part of the research. (AU)