Prime alternative and (-1,1)--algebras and superalgebras: subalgebras, ideals, C--operations, and identities

• Grant number: 12/04702-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 01, 2012
• End date: August 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Sergey Pchelincev
• 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: 10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

We plan to work on questions related to the structure and identities of prime degenerate algebras and superalgebras and their ideals in varieties of alternative and (-1,1) algebras. We plan also to describe T-prime superalgebras in these varieties. (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.. Degenerate alternative algebras. SIBERIAN MATHEMATICAL JOURNAL, v. 55, n. 2, p. 323-335, MAR 2014. (12/04702-7)

PCHELINTSEV, SERGEY V.; SHESTAKOV, IVAN P.. Prime (-1,1) and Jordan monsters and superalgebras of vector type. Journal of Algebra, v. 423, p. 54-86, FEB 1 2015. (10/50347-9, 12/04702-7)