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- Title
Derivations and representations of commutative algebras verifying a polynomial identity of degree five.
- Authors
Ouédraogo, Hamed; Dembega, Abdoulaye; Conseibo, André
- 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.
- Subjects
REPRESENTATIONS of algebras; POLYNOMIALS; ASSOCIATIVE algebras; COMMUTATIVE algebra; NONCOMMUTATIVE algebras; POLYNOMIAL rings
- Publication
European Journal of Pure & Applied Mathematics, 2023, Vol 16, Issue 4, p2145
- ISSN
1307-5543
- Publication type
Article
- DOI
10.29020/nybg.ejpam.v16i4.4924