On speciality of binary-Lie algebras
| Author | dc.contributor.author | Arenas, Manuel | |
| Author | dc.contributor.author | Shestakov, Ivan | |
| Admission date | dc.date.accessioned | 2018-12-20T14:06:13Z | |
| Available date | dc.date.available | 2018-12-20T14:06:13Z | |
| Publication date | dc.date.issued | 2011 | |
| Cita de ítem | dc.identifier.citation | Journal of Algebra and its Applications, Volumen 10, Issue 2, 2018, Pages 257-268 | |
| Identifier | dc.identifier.issn | 02194988 | |
| Identifier | dc.identifier.other | 10.1142/S0219498811004550 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/153859 | |
| Abstract | dc.description.abstract | In the present work, binary-Lie, assocyclic, and binary (-1,1) algebras are studied. We prove that, for every assocyclic algebra A, the algebra A - is binary-Lie. We find a simple non-Malcev binary-Lie superalgebra T that cannot be embedded in A-s for an assocyclic superalgebra A. We use the Grassmann envelope of T to prove the similar result for algebras. This solve negatively a problem by Filippov (see [1, Problem 2.108]). Finally, we prove that the superalgebra T is isomorphic to the commutator superalgebra A-s for a simple binary (-1,1) superalgebra A. © 2011 World Scientific Publishing Company. | |
| Lenguage | dc.language.iso | en | |
| Publisher | dc.publisher | World Scientific Publishing Co. Pte Ltd | |
| 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 | Journal of Algebra and its Applications | |
| Keywords | dc.subject | (-1,1)-algebra | |
| Keywords | dc.subject | Assocyclic algebra | |
| Keywords | dc.subject | binary-Lie algebra | |
| Keywords | dc.subject | speciality problem | |
| Keywords | dc.subject | super-algebra | |
| Título | dc.title | On speciality of binary-Lie algebras | |
| Document type | dc.type | Artículo de revista | |
| Cataloguer | uchile.catalogador | SCOPUS | |
| Indexation | uchile.index | Artículo de publicación SCOPUS | |
| uchile.cosecha | uchile.cosecha | SI |
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