On the nilpotence of the multiplication operator in commutative right nil algebras

Author	dc.contributor.author	Correa, Ivan
Author	dc.contributor.author	Hentzel, Irvin Roy
Author	dc.contributor.author	Labra, Alicia
Admission date	dc.date.accessioned	2018-12-20T14:06:48Z
Available date	dc.date.available	2018-12-20T14:06:48Z
Publication date	dc.date.issued	2002
Cita de ítem	dc.identifier.citation	Communications in Algebra, Volumen 30, Issue 7, 2018, Pages 3473-3488
Identifier	dc.identifier.issn	00927872
Identifier	dc.identifier.other	10.1081/AGB-120004499
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/154001
Abstract	dc.description.abstract	We study conditions under which the identity ((xx)x)x = 0 in a commutative nonassociative algebra A implies Rx is nil-potent where Rx is the multiplication operator Rx(y) = xy for all y in A. The separate conditions that we found to be sufficient are (1) dimension four or less, (2) any additional non-trivial identity of degree four, or (3) ((xx)x)(xx) = 0. We assume characteristic ≠ 2, 3.
Lenguage	dc.language.iso	en
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/
Source	dc.source	Communications in Algebra
Keywords	dc.subject	Algebra and Number Theory
Título	dc.title	On the nilpotence of the multiplication operator in commutative right nil algebras
Document type	dc.type	Artículo de revista
Cataloguer	uchile.catalogador	SCOPUS
Indexation	uchile.index	Artículo de publicación SCOPUS
uchile.cosecha	uchile.cosecha	SI

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile