On classification of 2-dimensional evolution algebras and its applications

Author:

Ahmed H,Bekbaev U,Rakhimov I

Abstract

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.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference14 articles.

1. On classification of finite dimensional algebras;Bekbaev,2015

2. The derivations of some evolution algebras;Camacho;Linear Multilinear Algebra,2013

3. Some properties of evolution algebras;Camacho;Bull. Korean Math. Soc.,2013

4. Classification of three-dimensional evolution algebras;Casado;Linear Algebra Appl.,2017

5. Evolution algebras of arbitrary dimension and their decompositions;Casado;Linear Algebra Appl.,2016

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1. Automorphism groups of Cayley evolution algebras;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-03-08

2. Complete classification of two-dimensional algebras over any basic field;6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL APPLICATIONS IN ENGINEERING;2023

3. Using the Evolution Operator to Classify Evolution Algebras;Mathematical and Computational Applications;2021-08-05

4. Identities on Two-Dimensional Algebras;Lobachevskii Journal of Mathematics;2020-09

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