ON THE RADICAL OF A FREE MALCEV ALGEBRA

dc.creator	Shestakov, I. P.
dc.creator	Kornev, A. I.
dc.date.accessioned	2013-11-06T18:52:47Z
dc.date.accessioned	2018-07-04T16:19:59Z
dc.date.available	2013-11-06T18:52:47Z
dc.date.available	2018-07-04T16:19:59Z
dc.date.created	2013-11-06T18:52:47Z
dc.date.issued	2012
dc.identifier	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, v. 140, n. 9, pp. 3049-3054, SEP, 2012
dc.identifier	0002-9939
dc.identifier	http://www.producao.usp.br/handle/BDPI/42572
dc.identifier.uri	http://repositorioslatinoamericanos.uchile.cl/handle/2250/1634497
dc.description.abstract	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.
dc.language	eng
dc.publisher	AMER MATHEMATICAL SOC
dc.publisher	PROVIDENCE
dc.relation	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
dc.rights	Copyright AMER MATHEMATICAL SOC
dc.rights	openAccess
dc.subject	MALCEV ALGEBRA
dc.subject	FREE ALGEBRA
dc.subject	PRIME RADICAL
dc.subject	NILPOTENT ELEMENT
dc.subject	ENGELIAN ELEMENT
dc.title	ON THE RADICAL OF A FREE MALCEV ALGEBRA
dc.type	Artículos de revistas