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Author | dc.contributor.author | Labra, A. | |
Author | dc.contributor.author | Ladra, M. | |
Author | dc.contributor.author | Rozikov, U. A. | |
Admission date | dc.date.accessioned | 2018-12-20T14:14:21Z | |
Available date | dc.date.available | 2018-12-20T14:14:21Z | |
Publication date | dc.date.issued | 2014 | |
Cita de ítem | dc.identifier.citation | Linear Algebra and Its Applications, Volumen 457, | |
Identifier | dc.identifier.issn | 00243795 | |
Identifier | dc.identifier.other | 10.1016/j.laa.2014.05.036 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/155113 | |
Abstract | dc.description.abstract | We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. We study basic properties of the algebra. This algebra is commutative (and hence flexible), not associative and not necessarily power-associative, in general. We prove that being alternative is equivalent to being associative. We find conditions to be an associative, a fourth power-associative, or a nilpotent algebra. We also prove that if the algebra is not alternative then to be power-associative is equivalent to be Jordan. Moreover it is not unital. In a general case, we describe the full set of idempotent elements and the full set of absolute nilpotent elements. The set of all operators of left (right) multiplications is described. Under some conditions it is proved that the corresponding algebra is centroidal. Moreover the classification of 2-dimensional and some 3-dimensional algebras are obtained. © 2 | |
Lenguage | dc.language.iso | en | |
Publisher | dc.publisher | Elsevier Inc. | |
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 algebra | |
Keywords | dc.subject | Bisexual population | |
Keywords | dc.subject | Centroidal | |
Keywords | dc.subject | Evolution algebra | |
Keywords | dc.subject | Idempotent | |
Keywords | dc.subject | Nilpotent | |
Keywords | dc.subject | Unital | |
Título | dc.title | An evolution algebra in population genetics | |
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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