Artículo
Some properties of evolution algebras
Autor/es | Camacho Santana, Luisa María
Gómez Martín, José Ramón Omirov, Bakhrom Abdazovich Turdibaev, R.M. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2013 |
Fecha de depósito | 2019-11-15 |
Publicado en |
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Resumen | The paper is devoted to the study of finite dimensional complex evolu-
tion algebras. The class of evolution algebras isomorphic to evolution algebras with
Jordan form matrices is described. For finite dimensional complex ... The paper is devoted to the study of finite dimensional complex evolu- tion algebras. The class of evolution algebras isomorphic to evolution algebras with Jordan form matrices is described. For finite dimensional complex evolution algebras the criteria of nilpotency is established in terms of the properties of corresponding matrices. Moreover, it is proved that for nilpotent n−dimensional complex evolution algebras the possible maximal nilpotency index is 1 + 2n−1 . The criteria of planarity for finite graphs is formulated by means of evolution algebras defined by graphs. |
Identificador del proyecto | FQM-143 |
Cita | Camacho Santana, L.M., Gómez Martín, J.R., Omirov, B.A. y Turdibaev, R.M. (2013). Some properties of evolution algebras. Bulletin of the Korean Mathematical Society, 50 (5), 1481-1494. |
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