On formal deformations and degenerations of evolution algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911306624270336 |
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| author | Makhlouf, Abdenacer Pérez-Rodríguez, Andrés |
| author_facet | Makhlouf, Abdenacer Pérez-Rodríguez, Andrés |
| contents | The main purpose of this paper is to study formal deformations of evolution algebras, determining their existence and classifying them up to equivalence. In addition, we examine degenerations in this setting and provide Hasse diagrams that describe the degeneration relations among nilpotent evolution algebras of dimensions up to four. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07002 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On formal deformations and degenerations of evolution algebras Makhlouf, Abdenacer Pérez-Rodríguez, Andrés Rings and Algebras 13D10, 17D92, 17A60, 17B30 The main purpose of this paper is to study formal deformations of evolution algebras, determining their existence and classifying them up to equivalence. In addition, we examine degenerations in this setting and provide Hasse diagrams that describe the degeneration relations among nilpotent evolution algebras of dimensions up to four. |
| title | On formal deformations and degenerations of evolution algebras |
| topic | Rings and Algebras 13D10, 17D92, 17A60, 17B30 |
| url | https://arxiv.org/abs/2512.07002 |