2026-05-29T23:06:23Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/263922026-02-03T11:08:10Zcom_10630_2254col_10630_37953

Two-dimensional perfect evolution algebras over domains. Cabrera-Casado, Yolanda Martín-Barquero, Dolores Martín-González, Cándido Álgebra Dominios integrales Módulos (Algebra) 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. 2023-04-24T12:22:10Z 2023-04-24T12:22:10Z 2023-04-24T12:22:10Z 2023-01-23 journal article Casado, Y. C., Barquero, D. M., & González, C. M. (2023). Two-dimensional perfect evolution algebras over domains. Journal of Algebraic Combinatorics, 1-19. https://hdl.handle.net/10630/26392 https://doi.org/10.1007/s10801-022-01196-1 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer Nature