Year: 2023
Type: article
Abstract: In this paper, we study a class of commutative nonassociative algebras satisfying a polynomial identity of degree five. We show that under the assumption of the existence of a nonzero idempotent, any algebra satisfying such an identity admits a Peirce decomposition. Using this decomposition, we study the derivations and representations of algebras of this class. Received: May 6, 2023Revised: May 30, 2023Accepted: July 4, 2023
Authors: Aly GUIRO, Abdoulaye DEMBEGA, André CONSEIBO
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4386964099