On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-05-13 DOI:10.1080/03081087.2024.2352452

Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González, Alicia Tocino

引用次数: 0

Abstract

This work classifies three-dimensional simple evolution algebras over arbitrary fields. For this purpose, we use tools such as the associated directed graph, the moduli set, inductive limit group, ...

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关于二维和三维的简单演化代数。构建简单和半简单演化代数

这项研究对任意域上的三维简单演化代数进行了分类。为此，我们使用了相关有向图、模集、归纳极限群等工具。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.