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On classification of 2-dimensional evolution algebras and its applications

H. AhmedDepartment of Math., Faculty of Science, UPM, Selangor, Malaysia & Depart. of Math., Faculty of Science, Taiz University, Taiz, YemenUral BekbaevI. S. RakhimovDepartment of Mathematics, Faculty of Computer and Mathematical Sciences, UiTM, Malaysia & V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Science
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Abstract In the paper we give a complete classification of 2-dimensional evolution algebras over algebraically closed fields, we compare the list of representatives of the isomorphism classes with that of obtained earlier by the other authors. Also we describe their groups of automorphisms and derivation algebras.

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