演化代数的皮尔斯分解

Pub Date : 2023-12-01 DOI:10.1515/ms-2023-0103

I. Paniello

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引用次数: 0

摘要

摘要我们讨论了演化代数关联核中包含的幂等元素的 Peirce 分解。如果幂等元素是自然向量，那么证明了核的要求等同于进化代数是巴利的。此外，还提供了对巴利演化代数的描述。

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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Peirce Decompositions for Evolution Algebras

ABSTRACT 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.

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