Basic ideals in evolution algebras
| dc.contributor.author | Cabrera-Casado, Yolanda | |
| dc.contributor.author | Siles-Molina, Mercedes | |
| dc.contributor.author | Kanuni, Müge | |
| dc.date.accessioned | 2024-09-28T09:48:23Z | |
| dc.date.available | 2024-09-28T09:48:23Z | |
| dc.date.issued | 2019 | |
| dc.departamento | Matemática Aplicada | |
| dc.description.abstract | With the aim of finding useful tools and invariants to classify finite dimensional evolution algebras, we introduce and study the notion of a basic ideal. Every n-dimensional perfect evolution algebra has a maximal basic ideal I which is unique except when the dimension of I is n-1. An application of our results leads to the description of the four dimensional perfect non-simple evolution algebras over a field with mild restrictions. | es_ES |
| dc.identifier.citation | Yolanda Cabrera Casado, Müge Kanuni, Mercedes Siles Molina, Basic ideals in evolution algebras, Linear Algebra and its Applications, Volume 570, 2019, Pages 148-180, ISSN 0024-3795, https://doi.org/10.1016/j.laa.2019.01.010 | es_ES |
| dc.identifier.doi | 10.1016/j.laa.2019.01.010 | |
| dc.identifier.uri | https://hdl.handle.net/10630/33814 | |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.rights.accessRights | open access | es_ES |
| dc.subject | Algebras genéticas | es_ES |
| dc.subject.other | Genetic algebra | es_ES |
| dc.subject.other | Evolution algebra | es_ES |
| dc.subject.other | Simple algebra | es_ES |
| dc.subject.other | Perfect evolution algebra | es_ES |
| dc.subject.other | Basic ideal | es_ES |
| dc.title | Basic ideals in evolution algebras | es_ES |
| dc.type | journal article | es_ES |
| dc.type.hasVersion | AM | es_ES |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 93e4a84d-2181-4153-a84b-86ff8b1abd99 | |
| relation.isAuthorOfPublication | 8567a6dc-0f8c-493a-835a-3b7013c10cbe | |
| relation.isAuthorOfPublication.latestForDiscovery | 93e4a84d-2181-4153-a84b-86ff8b1abd99 |
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