Artículos de revistas
ON THE RADICAL OF A FREE MALCEV ALGEBRA
Fecha
2012Registro en:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, v. 140, n. 9, pp. 3049-3054, SEP, 2012
0002-9939
Autor
Shestakov, I. P.
Kornev, A. I.
Institución
Resumen
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.