RT Journal Article
T1 Two-dimensional perfect evolution algebras over domains
A1 Cabrera-Casado, Yolanda
A1 Martín-Barquero, Dolores
A1 Martín-González, Cándido
K1 Álgebra
AB We will study evolution algebras A that are free modules of dimension two over domains. We start by making some general considerations about algebras over domains: They are sandwiched between a certain essential D-submodule and its scalar extension over the field of fractions of the domain. We introduce the notion of quasiper- fect algebras and we characterize the perfect and quasiperfect evolution algebras in terms of the determinant of its structure matrix. We classify the two-dimensional perfect evolution algebras over domains parametrizing the isomorphism classes by a convenient moduli set.
PB SpringerLink
YR 2023
FD 2023-01
LK https://hdl.handle.net/10630/29730
UL https://hdl.handle.net/10630/29730
LA eng
NO Casado, Y.C., Barquero, D.M. & González, C.M. Two-dimensional perfect evolution algebras over domains. J Algebr Comb 58, 569–587 (2023). https://doi.org/10.1007/s10801-022-01196-1
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 26 feb 2026