RT Journal Article
T1 Regular evolution algebras are universally finite.
A1 Costoya Ramos, María Cristina
A1 Ligouras, Panagiote
A1 Tocino-Sánchez, Alicia
A1 Viruel-Arbaizar, Antonio Ángel
K1 Álgebra
AB In this paper we show that evolution algebras over any given fieldk are universally finite. In other words, given any finite group G, there existinfinitely many regular evolution algebras X such that Aut(X) ∼= G. The proofis built upon the construction of a covariant faithful functor from the categoryof finite simple (non oriented) graphs to the category of (finite dimensional)regular evolution algebras. Finally, we show that any constant finite algebraicaffine group scheme G over k is isomorphic to the algebraic affine group schemeof automorphisms of a regular evolution algebra.
PB AMS
YR 2021
FD 2021-12-14
LK https://hdl.handle.net/10630/32834
UL https://hdl.handle.net/10630/32834
LA eng
NO Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/7810
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026