Nilpotent linear transformations and the solvability of power-associative nilalgebras

Author	dc.contributor.author	Correa, Iván
Author	dc.contributor.author	Roy Hentzel, Irvin	es_CL
Author	dc.contributor.author	Julca, Pedro Pablo	es_CL
Author	dc.contributor.author	Perezi, Luiz Antonio	es_CL
Admission date	dc.date.accessioned	2007-05-17T20:08:20Z
Available date	dc.date.available	2007-05-17T20:08:20Z
Publication date	dc.date.issued	2005-02-01
Cita de ítem	dc.identifier.citation	LINEAR ALGEBRA AND ITS APPLICATIONS 396: 35-53 FEB 1 2005	en
Identifier	dc.identifier.issn	0024-3795
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/118620
Abstract	dc.description.abstract	We prove some results about nilpotent linear transformations. As an application we solve some cases of Albert's problem on the solvability of nilalgebras. More precisely, we prove the following results: commutative power-associative nilalgebras of dimension n and nilindex n - 1 or n - 2 are solvable; commutative power-associative nilalgebras of dimension 7 are solvable.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	ELSEVIER SCIENCE INC	en
Keywords	dc.subject	VARIETIES	en
Título	dc.title	Nilpotent linear transformations and the solvability of power-associative nilalgebras	en
Document type	dc.type	Artículo de revista