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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Jordan-Nilalgebras of Index 3

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Author(s):
Gutierrez Fernandez, Juan C. [1] ; Garcia, Claudia I. [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Matemat IME, Caixa Postal 66281, BR-05315970 Sao Paulo - Brazil
[2] Univ Sao Paulo, EACH, Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 44, n. 10, p. 4277-4293, 2016.
Web of Science Citations: 1
Abstract

We study commutative algebras that satisfy the Jacobi identity. Such algebras are Jordan algebras. We describe some of their properties and give a new bound of the index of nilpotency. We prove that every commutative nilalgebra of nilindex 3 generated by k elements over a field of characteristic2, 3 is nilpotent of index less than or equal to k+5. (AU)

FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Projects - Thematic Grants