RT Journal Article
T1 Tensor product of evolution algebras.
A1 Cabrera-Casado, Yolanda
A1 Martín-Barquero, Dolores
A1 Martín-González, Cándido
A1 Tocino-Sánchez, Alicia
K1 Algebras no asociativas
K1 Productos tensoriales
AB The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and only if every factor is an evolution algebra. Another issue arises about the inheritance of properties from the tensor product to the factors and conversely. For instance, nondegeneracy, irreducibility, perfectness and simplicity are investigated. The four-dimensional case is illustrative and useful to contrast conjectures, so we achieve a com- plete classification of four-dimensional perfect evolution algebras emerg- ing as tensor product of two-dimensional ones. We find that there are four-dimensional evolution algebras that are the tensor product of two nonevolution algebras.
PB SpringerLink
YR 2022
FD 2022-12-28
LK https://hdl.handle.net/10630/29731
UL https://hdl.handle.net/10630/29731
LA eng
NO Cabrera Casado, Y., Martín Barquero, D., Martín González, C. et al. Tensor Product of Evolution Algebras. Mediterr. J. Math. 20, 43 (2023).
NO Spanish Ministerio de Ciencia e Innovación through project PID2019-104236GB- I00/AEI/10.13039/501100011033  Junta de Andalucía through projects FQM-336 and UMA18-FEDERJA- 119, all of them with FEDER funds.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026