Regular evolution algebras are closed under subalgebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910867138805760 |
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| author | Ladra, Manuel Pérez-Rodríguez, Andrés |
| author_facet | Ladra, Manuel Pérez-Rodríguez, Andrés |
| contents | The main goal of this note is to show that subalgebras of regular evolution algebras are themselves evolution algebras. This allows us to assume, without loss of generality, that every subalgebra in the regular setting has a basis consisting of vectors with disjoint supports. Finally, we use this result to characterise the existence of codimension-one subalgebras in regular evolution algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07187 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regular evolution algebras are closed under subalgebras Ladra, Manuel Pérez-Rodríguez, Andrés Rings and Algebras 17D92, 17A60 The main goal of this note is to show that subalgebras of regular evolution algebras are themselves evolution algebras. This allows us to assume, without loss of generality, that every subalgebra in the regular setting has a basis consisting of vectors with disjoint supports. Finally, we use this result to characterise the existence of codimension-one subalgebras in regular evolution algebras. |
| title | Regular evolution algebras are closed under subalgebras |
| topic | Rings and Algebras 17D92, 17A60 |
| url | https://arxiv.org/abs/2503.07187 |