Article
Some properties of evolution algebras
Author/s | Camacho Santana, Luisa María
![]() ![]() ![]() ![]() ![]() ![]() ![]() Gómez Martín, José Ramón Omirov, Bakhrom Abdazovich Turdibaev, R.M. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2013 |
Deposit Date | 2019-11-15 |
Published in |
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Abstract | 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. |
Project ID. | FQM-143
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Citation | 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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