On evolution algebras - Mathematics > Commutative AlgebraReportar como inadecuado

On evolution algebras - Mathematics > Commutative Algebra - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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.

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

Fuente: https://arxiv.org/

Documentos relacionados