2026-06-01T16:03:57Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/328342026-02-03T11:25:29Zcom_10630_2254col_10630_37953

Regular evolution algebras are universally finite. Costoya Ramos, María Cristina Ligouras, Panagiote Tocino-Sánchez, Alicia Viruel-Arbaizar, Antonio Ángel Álgebra Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/7810 In this paper we show that evolution algebras over any given field k are universally finite. In other words, given any finite group G, there exist infinitely many regular evolution algebras X such that Aut(X) ∼= G. The proof is built upon the construction of a covariant faithful functor from the category of finite simple (non oriented) graphs to the category of (finite dimensional) regular evolution algebras. Finally, we show that any constant finite algebraic affine group scheme G over k is isomorphic to the algebraic affine group scheme of automorphisms of a regular evolution algebra. 2024-09-23T09:38:14Z 2024-09-23T09:38:14Z 2021-12-14 journal article https://hdl.handle.net/10630/32834 https://doi.org/10.1090/proc/15648 eng open access AMS