Artem Lopatin | Omsk Branch of Institute of Mathematics - Russia

• Grant number: 11/51047-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 10, 2012
• End date: January 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Artem Lopatin
• Visiting researcher institution: Russian Academy of Sciences (RAS), Russia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

The project concerns the Specht problem and estimations on the nil potency degree of the relatively free associative algebra with the identity x^n=0 over an infinite field of arbitrary characteristic. As an application, we consider the Specht problem for the algebra of concomitants. (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)

LOPATIN, ARTEM A.; SHESTAKOV, IVAN P.. ASSOCIATIVE NIL-ALGEBRAS OVER FINITE FIELDS. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 23, n. 8, p. 1881-1894, DEC 2013. (11/51047-1)

LOPATIN, ARTEM A.. On the nilpotency degree of the algebra with identity x(n)=0. Journal of Algebra, v. 371, p. 350-366, DEC 1 2012. (11/51047-1)