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Author | dc.contributor.author | Arenas, Manuel | |
Author | dc.contributor.author | Labra, Alicia | |
Admission date | dc.date.accessioned | 2018-12-20T14:05:55Z | |
Available date | dc.date.available | 2018-12-20T14:05:55Z | |
Publication date | dc.date.issued | 2008 | |
Cita de ítem | dc.identifier.citation | Algebra Colloquium, Volumen 15, Issue 1, 2018, Pages 69-82 | |
Identifier | dc.identifier.issn | 10053867 | |
Identifier | dc.identifier.other | 10.1142/S1005386708000072 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/153811 | |
Abstract | dc.description.abstract | We study the variety of algebras A over a field of characteristic ≠ 2, 3, 5 satisfying the identities xy=yx and β ((xx)y)x-((yx)x)x + γ ((xx)x)y-((yx)x)x=0, where β, γ are scalars. We do not assume power-associativity. We prove that if A admits a non-degenerate trace form, then A is a Jordan algebra. We also prove that if A is finite-dimensional and solvable, then it is nilpotent. We find three conditions, any of which implies that a finite-dimensional right-nilalgebra A is nilpotent. © 2008 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and Suzhou University. | |
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 | Algebra Colloquium | |
Keywords | dc.subject | Jordan algebra | |
Keywords | dc.subject | Nilpotent | |
Keywords | dc.subject | Right-nilalgebra | |
Keywords | dc.subject | Solvable | |
Keywords | dc.subject | Trace form | |
Título | dc.title | On nilpotency of generalized almost-jordan right-nilalgebras | |
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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