Peirce Decompositions for Evolution Algebras-Reference-Cited by-同舟云学术

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Peirce Decompositions for Evolution Algebras

Published:2023-12-01 Issue:6 Volume:73 Page:1423-1434
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Paniello Irene¹

Affiliation:

1. Department of Statistics, Computer Science and Mathematics, Public University of Navarre , Campus Arrosadia , Pamplona , SPAIN

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2023-0103/pdf

Reference28 articles.

1. Boudi, N.—Cabrera Casado, Y.—Siles Molina, M.: Natural families in evolution algebras, Publ. Math. 66 (2022), 159–181.

2. Bustamante, M. D.—Mellon, P.—Velasco, M. V.: Determining when an algebra is an evolution algebra; https://arxiv.org/pdf/2102.04493.

3. Cabrera Casado, Y.—Cadavid, P.—Reis, T.: Derivations and loops of some evolution algebras, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 117 (2023), Art. No. 119.

4. Cabrera Casado, Y.—Cardoso Gonçalves, M. I.—Gonçalves, D.—Martín Barquero, D.—Martín González, C.: Chains in Evolution algebras, Linear Algebra Appl. 622 (2021), 104–149.

5. Cabrera Casado, Y.—Kanuni, M.—Siles Molina, M.: Basic ideals in evolution algebras, Linear Algebra Appl. 570 (2019), 148–180.

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