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Abstract: The structural constants of an evolution algebra is given by a quadraticmatrix $A$. In this work we establish equivalence between nil, right nilpotentevolution algebras and evolution algebras, which are defined by uppertriangular matrix $A$. The classification of 2-dimensional complex evolutionalgebras is obtained. For an evolution algebra with a special form of thematrix $A$ we describe all its isomorphisms and their compositions. Weconstruct an algorithm running under Mathematica which decides if two finitedimensional evolution algebras are isomorphic.

Author: J.M. Casas, M. Ladra, B.A. Omirov, U.A. Rozikov

Source: https://arxiv.org/

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