Algebras with polynomial identities

• Grant number: 18/25269-6
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Duration: February 24, 2019 - April 21, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Francisco Cesar Polcino Milies
• Grantee: Francisco Cesar Polcino Milies
• Visiting researcher: Antonino Giambruno
• Visiting researcher institution: Università degli Studi di Palermo (UNIPA), Italy
• 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

Fundamental Algebras are algebras defined in terms of polynimial identities which are multialternating polynomials colled Kemer polynimials. Every finite dimensional algebra is PI-equivalent to a fundamental algebra. We intend to study finite dimensional algebras which are PI-equivalent to algebras whose central codiimensions are of polynimial growth. (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)

GIAMBRUNO, A.; LA MATTINA, D.; MILIES, C. POLCINO. UNDERSTANDING STAR-FUNDAMENTAL ALGEBRAS. Proceedings of the American Mathematical Society, v. 149, n. 8, p. 3221-3233, AUG 2021. (18/25269-6, 15/09162-9)