Two-dimensional perfect evolution algebras over domains
| dc.centro | Facultad de Ciencias | es_ES |
| dc.contributor.author | Cabrera-Casado, Yolanda | |
| dc.contributor.author | Martín-Barquero, Dolores | |
| dc.contributor.author | Martín-González, Cándido | |
| dc.date.accessioned | 2024-02-02T12:42:51Z | |
| dc.date.available | 2024-02-02T12:42:51Z | |
| dc.date.created | 2024-02-02 | |
| dc.date.issued | 2023-01 | |
| dc.departamento | Álgebra, Geometría y Topología | |
| dc.description.abstract | We will study evolution algebras A that are free modules of dimension two over domains. We start by making some general considerations about algebras over domains: They are sandwiched between a certain essential D-submodule and its scalar extension over the field of fractions of the domain. We introduce the notion of quasiper- fect algebras and we characterize the perfect and quasiperfect evolution algebras in terms of the determinant of its structure matrix. We classify the two-dimensional perfect evolution algebras over domains parametrizing the isomorphism classes by a convenient moduli set. | es_ES |
| dc.description.sponsorship | Spanish Ministerio de Ciencia e Innovación through project PID2019-104236GB-I00/AEI/10.13039/501100011033 Junta de Andalucía through projects FQM-336 and UMA18-FEDERJA-119, all of them with FEDER funds. | es_ES |
| dc.identifier.citation | Casado, Y.C., Barquero, D.M. & González, C.M. Two-dimensional perfect evolution algebras over domains. J Algebr Comb 58, 569–587 (2023). https://doi.org/10.1007/s10801-022-01196-1 | es_ES |
| dc.identifier.doi | 10.1007/s10801-022-01196-1 | |
| dc.identifier.uri | https://hdl.handle.net/10630/29730 | |
| dc.language.iso | eng | es_ES |
| dc.publisher | SpringerLink | es_ES |
| dc.rights.accessRights | open access | es_ES |
| dc.subject | Álgebra | es_ES |
| dc.subject.other | Evolution algebras | es_ES |
| dc.subject.other | Classification over domains | es_ES |
| dc.title | Two-dimensional perfect evolution algebras over domains | es_ES |
| dc.type | journal article | es_ES |
| dc.type.hasVersion | VoR | es_ES |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 93e4a84d-2181-4153-a84b-86ff8b1abd99 | |
| relation.isAuthorOfPublication | e714bba7-73e7-4248-80f3-4eb6eb6179ab | |
| relation.isAuthorOfPublication | 6a556eed-a484-49c7-b254-ce9f7c940b4a | |
| relation.isAuthorOfPublication.latestForDiscovery | 93e4a84d-2181-4153-a84b-86ff8b1abd99 |
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