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The derivations of some evolution algebras

L.M. Camacho Departmento Mathemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes, s/n. 41012, Sevilla, SpainJ.R. Gómez Departmento Mathemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes, s/n. 41012, Sevilla, SpainB. A. Omirov Institute of Mathematics and Information Technologies, Do'rmon Yo'li str., 29, 100125, Tashkent, UzbekistanRustam Turdibaev Department of Mathematics, National University of Uzbekistan, Vuzgorogok, 27, 100174, Tashkent, Uzbekistan
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In this work we investigate the derivations of n−dimensional complex\n\t\t\t\t evolution algebras, depending on the rank of the appropriate matrices. For evolution\n\t\t\t\t algebra with non-singular matrices we prove that the space of derivations is zero. The\n\t\t\t\t spaces of derivations for evolution algebras with matrices of rank n−1 are described.

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