Peirce Decompositions for Evolution Algebras

被引：0

作者：

Paniello, Irene ^{[1
]}

机构：

[1] Univ Publ Navarra, Dept Stat Comp Sci & Math, Campus Arrosadia, Pamplona 31006, Spain

来源：

MATHEMATICA SLOVACA | 2023年 / 73卷 / 06期

关键词：

Evolution algebra; Peirce decomposition; Baric algebra;

D O I：

10.1515/ms-2023-0103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We address Peirce decompositions for evolution algebras at idempotent elements contained in the associative nucleus of the evolution algebras. If the idempotent elements are natural vectors, the requirement of being nuclear is then proved to be equivalent to the evolution algebra to be baric. A description of baric evolution algebras is also provided.

引用

页码：1423 / 1434

页数：12

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