Classification of a family of three dimensional real evolution algebras
Rings and Algebras
2019-03-14 v2 Commutative Algebra
Abstract
In this paper we classify a family of three-dimensional real evolution algebras. We also consider an evolution operator for an evolution algebra and find fixed points of this operator for two and three-dimensional cases. Then we construct an evolution algebra, the matrix of structural constants of which is Jacobian of the evolution operator at a fixed point. We study isomorphism between these evolution algebras.
Keywords
Cite
@article{arxiv.1812.03669,
title = {Classification of a family of three dimensional real evolution algebras},
author = {Anvar Imomkulov},
journal= {arXiv preprint arXiv:1812.03669},
year = {2019}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1701.07219 by other authors