Work

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

Year: 2023

Type: article

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.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v16i4.4924

Authors: Hamed Ouédraogo, Abdoulaye Dembega, André Conseibo

Institution: University of Koudougou

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4388044679

FWCI: 0.644

Cites: 7

Cited by: 1

Related to: 10