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Author | dc.contributor.author | Hentzel, Irvin Roy | |
Author | dc.contributor.author | Labra, Alicia | |
Admission date | dc.date.accessioned | 2018-12-20T14:10:53Z | |
Available date | dc.date.available | 2018-12-20T14:10:53Z | |
Publication date | dc.date.issued | 2005 | |
Cita de ítem | dc.identifier.citation | Linear Algebra and Its Applications, Volumen 404, Issue 1-3, 2018, Pages 389-400 | |
Identifier | dc.identifier.issn | 00243795 | |
Identifier | dc.identifier.other | 10.1016/j.laa.2005.03.009 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/154469 | |
Abstract | dc.description.abstract | We shall study representations of algebras over fields of characteristic ≠ 2, 3 of dimension 4 which satisfy the identities xy - yx = 0, and ((xx)x)x = 0. In these algebras the multiplication operator was shown to be nilpotent by [I. Correa, R. Hentzel, A. Labra, On the nilpotence of the multiplication operator in commutative right nilalgebras, Commun. Alg. 30 (7) (2002) 3473-3488]. In this paper we use this result in order to prove that there are no non-trivial one-dimensional representations, there are only reducible two-dimensional representations, and there are irreducible and reducible three-dimensional representations. © 2005 Elsevier Inc. All rights reserved. | |
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 | Linear Algebra and Its Applications | |
Keywords | dc.subject | Irreducible representations | |
Keywords | dc.subject | Nilpotent | |
Keywords | dc.subject | Representations | |
Keywords | dc.subject | Right nilalgebra | |
Título | dc.title | On representations on right nilalgebras of right nilindex four | |
Document type | dc.type | Artículo de revista | |
dcterms.accessRights | dcterms.accessRights | Acceso Abierto | |
Cataloguer | uchile.catalogador | SCOPUS | |
Indexation | uchile.index | Artículo de publicación SCOPUS | |
uchile.cosecha | uchile.cosecha | SI | |
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