Structure of Algebras Satisfying an ω-Polynomial Identity of Degree Six

Authors

Hamed Ouedraogo Department of Mathematics, Norbert Zongo University, Koudougou, Burkina Faso https://orcid.org/0009-0002-1505-3933
Daouda Kabré Department of Mathematics, Norbert Zongo University, Koudougou, Burkina Faso https://orcid.org/0009-0004-9862-2226
Abdoulaye Dembega Department of Mathematics, Norbert Zongo University, Koudougou, Burkina Faso
André Conseibo Department of Mathematics, Norbert Zongo University, Koudougou, Burkina Faso https://orcid.org/0000-0001-7424-273X

DOI:

https://doi.org/10.37256/cm.6220256453

Keywords:

idempotent, Peirce decomposition, ω-polynomial identity, Bernstein algebras, train algebras, evolution algebra

Abstract

This paper is devoted to the study of a class of commutative non-associative algebras characterized by the identity:

where α ∈ [0, 1]. In this study, we strongly use the Peirce decomposition technique. This allowed us to determine the conditions for an algebra of this class to be Bernstein, principal train, or evolution.

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Published

2025-03-19

Issue

Contemporary Mathematics, Volume 6 Issue 2 (2025), 1380-2725

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.