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Author | dc.contributor.author | Arenas, Manuel | |
Admission date | dc.date.accessioned | 2018-12-20T14:05:56Z | |
Available date | dc.date.available | 2018-12-20T14:05:56Z | |
Publication date | dc.date.issued | 2009 | |
Cita de ítem | dc.identifier.citation | Linear Algebra and Its Applications, Volumen 430, Issue 1, 2018, Pages 286-295 | |
Identifier | dc.identifier.issn | 00243795 | |
Identifier | dc.identifier.other | 10.1016/j.laa.2008.07.018 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/153821 | |
Abstract | dc.description.abstract | We establish the equivalence between the problem of existence of associative bilinear forms and the problem of solvability in commutative power-associative finite-dimensional nil-algebras. We use the tensor product to find sufficient and necessary conditions to assure the existence of associative bilinear forms in an algebra A. The result gives us an algorithm to describe the space of associative bilinear forms for an algebra when its constants of structure γi, j, k for i, j, k = 1, ..., n are known. © 2008 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 | Associative bilinear forms | |
Keywords | dc.subject | Nil-algebras | |
Keywords | dc.subject | Power-associative algebras | |
Keywords | dc.subject | Solvability | |
Título | dc.title | An algorithm for associative bilinear forms | |
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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