On Jordan-Nilalgebras of Index 3

Autor(es)

Gutierrez Fernandez, Juan C. ^[1] ; Garcia, Claudia I. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Matemat IME, Caixa Postal 66281, BR-05315970 Sao Paulo - Brazil

^[2] Univ Sao Paulo, EACH, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 44, n. 10, p. 4277-4293, 2016.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático