Algebras with Polynomial Identities

• Grant number: 18/25269-6
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 24, 2019
• End date: 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
• City of the host institution: São Paulo
• 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

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)