A note on complete evolution algebras
This short note provides positive answers to two conjectures of Camacho, Khudoyberdiyev, and Omirov on the classification of complete evolution algebras. Our approach is based on analysing the solution set of a generic non-linear polynomial system of equations using elementary tools from algebraic g...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2026 |
| Country: | España |
| Institution: | Universidad de Santiago de Compostela (USC) |
| Repository: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Language: | English |
| OAI Identifier: | oai:dnet:minerva_____::66c0b27ddd2a2cfd13f5a6184e48e5d6 |
| Online Access: | https://hdl.handle.net/10347/47156 |
| Access Level: | Open access |
| Keyword: | Evolution algebras Complete evolution algebras Subalgebras Idempotents |
| Summary: | This short note provides positive answers to two conjectures of Camacho, Khudoyberdiyev, and Omirov on the classification of complete evolution algebras. Our approach is based on analysing the solution set of a generic non-linear polynomial system of equations using elementary tools from algebraic geometry. We also obtain new results on subalgebras and idempotents of evolution algebras, and conclude by proposing a conjecture that may characterise solvable evolution algebras. |
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