ON THE RADICAL OF A FREE MALCEV ALGEBRA

Autor(es)

Shestakov, I. P. ^[1] ; Kornev, A. I. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Proceedings of the American Mathematical Society; v. 140, n. 9, p. 3049-3054, SEP 2012.
• Citações Web of Science: 0

Resumo

We prove that the prime radical rad M of the free Malcev algebra M of rank more than two over a field of characteristic not equal 2 coincides with the set of all universally Engelian elements of M. Moreover, let T(M) be the ideal of M consisting of all stable identities of the split simple 7-dimensional Malcev algebra M over F. It is proved that rad M = J(M) boolean AND T(M), where J(M) is the Jacobian ideal of M. Similar results were proved by I. Shestakov and E. Zelmanov for free alternative and free Jordan algebras. (AU)

• Processo FAPESP: 08/57680-5 - Alexandr Ivanovich Kornev | Omsk State Transport University - Rússia
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional