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
K1 Dominios integrales
K1 Módulos (Algebra)
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 quasiperfect 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 Springer Nature
YR 2023
FD 2023-01-23
LK https://hdl.handle.net/10630/26392
UL https://hdl.handle.net/10630/26392
LA eng
NO Casado, Y. C., Barquero, D. M., & González, C. M. (2023). Two-dimensional perfect evolution algebras over domains. Journal of Algebraic Combinatorics, 1-19.
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.  //  Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 23 ene 2026