Derivations and Representations of Commutative Algebras Verifying a Polynomial Identity of Degree Five

Authors

  • Hamed Ouédraogo Université Norbert ZONGO
  • Abdoulaye Dembega Université Norbert ZONGO
  • André Conseibo Universté Norbert ZONGO

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4924

Keywords:

Generalized Almost-Jordan algebra, identity of degree five, Peirce decomposition, idempotent, derivation, representation

Abstract

In this paper we study a class of commutative non associative algebras satisfying a polynomial identity of degree five. We show that under the assumption of the existence of a non-zero idempotent, any commutative algebra verifying such an identity admits a Peirce decomposition. Using this decomposition we proceeded to the study of the derivations and representations of algebras of this class.

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Published

2023-10-30

How to Cite

Ouédraogo, H., Dembega, A., & Conseibo, A. (2023). Derivations and Representations of Commutative Algebras Verifying a Polynomial Identity of Degree Five. European Journal of Pure and Applied Mathematics, 16(4), 2145–2155. https://doi.org/10.29020/nybg.ejpam.v16i4.4924

Issue

Vol. 16 No. 4: (October 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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