Basic ideals in evolution algebras
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Inc
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
With the aim of finding useful tools and invariants to classify finite dimensional evolution algebras, we introduce and study the notion of a basic ideal. Every n-dimensional perfect evolution algebra has a maximal basic ideal I which is unique except when the dimension of I is n-1. An application of our results leads to the description of the four dimensional perfect non-simple evolution algebras over a field with mild restrictions. (C) 2019 Elsevier Inc. All rights reserved.
Description
Molina, Mercedes Siles/0000-0002-4299-5187; Kanuni, Muge/0000-0001-7436-039X; Cabrera Casado, Yolanda/0000-0003-4299-4392
WOS: 000462811200007
WOS: 000462811200007
Keywords
Genetic algebra, Evolution algebra, Simple algebra, Perfect algebra, Basic ideal, Irreducible algebra
Journal or Series
Linear Algebra And Its Applications
WoS Q Value
Q2
Scopus Q Value
Q1
Volume
570
