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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)

Articles published in Agência FAPESP Newsletter about the research grant:
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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, . (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, . (10/50347-9, 12/04702-7)