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The derivations of some evolution algebras |
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| Authors: | LM Camacho JR Gómez BA Omirov RM Turdibaev |
| Institution: | 1. Departmento Mathemática Aplicada I , Universidad de Sevilla , Avda. Reina Mercedes, s/n. 41012, Sevilla , Spain lcamacho@us.es;3. Departmento Mathemática Aplicada I , Universidad de Sevilla , Avda. Reina Mercedes, s/n. 41012, Sevilla , Spain;4. Institute of Mathematics and Information Technologies , Do'rmon Yo'li str., 29, 100125, Tashkent , Uzbekistan;5. Department of Mathematics , National University of Uzbekistan , Vuzgorogok, 27, 100174, Tashkent , Uzbekistan |
| Abstract: | In this work, we investigate the derivations of n-dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of derivations is zero. The spaces of derivations for evolution algebras with matrices of rank n ? 1 are described. |
| Keywords: | evolution algebra rank of matrix derivation |