On evolution algebras
Commutative Algebra
2010-04-08 v1
Abstract
The structural constants of an evolution algebra is given by a quadratic matrix . In this work we establish equivalence between nil, right nilpotent evolution algebras and evolution algebras, which are defined by upper triangular matrix . The classification of 2-dimensional complex evolution algebras is obtained. For an evolution algebra with a special form of the matrix we describe all its isomorphisms and their compositions. We construct an algorithm running under Mathematica which decides if two finite dimensional evolution algebras are isomorphic.
Cite
@article{arxiv.1004.1050,
title = {On evolution algebras},
author = {J. M. Casas and M. Ladra and B. A. Omirov and U. A. Rozikov},
journal= {arXiv preprint arXiv:1004.1050},
year = {2010}
}
Comments
17 pages