Functional Train Algebras of Rank ≤ 3

Authors

Joseph Bayara Department of Mathematics and Computer Science, Nazi Boni University, Bobo-Dioulasso, Burkina Faso https://orcid.org/0000-0003-0120-3988
Siaka Coulibaly Department of Mathematics and Computer Science, Nazi Boni University, Bobo-Dioulasso, Burkina Faso https://orcid.org/0009-0002-6604-1158

DOI:

https://doi.org/10.37256/cm.5320244575

Keywords:

baric algebra, train algebra, idempotent element, nilpotent element, Peirce decomposition

Abstract

In this paper we show that every baric algebra satisfying a functional train identity of rank ≤ 3 and admitting an idempotent is a special train algebra. The functional train equation of train algebras of rank 3 is given. Some examples are also given.

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Published

2024-07-24

Issue

Contemporary Mathematics, Volume 5 Issue 3 (2024), 2593-4131

Section

Research Article

License

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