Some properties of evolution algebras
Commutative Algebra
2018-05-01 v1
Abstract
The paper is devoted to the study of finite dimensional complex evolution algebras. The class of evolution algebras isomorphic to evolution algebras with Jordan form matrices is described. For finite dimensional complex evolution algebras the criteria of nilpotency is established in terms of the properties of corresponding matrices. Moreover, it is proved that for nilpotent dimensional complex evolution algebras the possible maximal nilpotency index is The criteria of planarity for finite graphs is formulated by means of evolution algebras defined by graphs.
Cite
@article{arxiv.1004.1987,
title = {Some properties of evolution algebras},
author = {L. M. Camacho and J. R. Gómez and B. A. Omirov and R. M. Turdibaev},
journal= {arXiv preprint arXiv:1004.1987},
year = {2018}
}
Comments
14 pages