Classification of Four Dimensional Train Algebras of Degree 2 and Exponent 4

Authors

  • W. Achile Zangré
  • André Conseibo Universté Norbert ZONGO

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i4.4586

Keywords:

Peirce decomposition, Train algebra of degree $2$ and exponent $4$, Bernstein algebra, Idempotent

Abstract

This paper is devoted to the classification of train algebras of degree 2 and exponent 4. This classification is made in dimension at most four and according to the type of the algebra. We first show that in four dimension, the type of algebra can only be of (2,0,1,1), (2,1,0,1) or (2,1 ,1,0).

 

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How to Cite

Zangré, W. A., & Conseibo, A. (2022). Classification of Four Dimensional Train Algebras of Degree 2 and Exponent 4. European Journal of Pure and Applied Mathematics, 15(4), 1887–1907. https://doi.org/10.29020/nybg.ejpam.v15i4.4586