2026-06-06T04:55:05Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/297302026-02-03T10:49:55Zcom_10630_2254col_10630_37953

Two-dimensional perfect evolution algebras over domains Cabrera-Casado, Yolanda Martín-Barquero, Dolores Martín-González, Cándido Álgebra 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. 2024-02-02T12:42:51Z 2024-02-02T12:42:51Z 2024-02-02T12:42:51Z 2023-01 journal article 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 https://hdl.handle.net/10630/29730 10.1007/s10801-022-01196-1 eng open access SpringerLink