ON A CLASS OF ALGEBRAS SATISFYING AN IDENTITY OF DEGREE FIVE

IF 0.2 Q4 MATHEMATICS

JP Journal of Algebra Number Theory and Applications Pub Date : 2023-09-20 DOI:10.17654/0972555523023

Aly GUIRO, Abdoulaye DEMBEGA, André CONSEIBO

引用次数: 0

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

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一类满足五次恒等式的代数

本文研究了一类满足五次多项式恒等式的可交换非结合代数。我们证明了在非零幂等存在的假设下，任何满足这种恒等式的代数都允许Peirce分解。利用这种分解，我们研究了这类代数的导数和表示。收稿日期:2023年5月6日修稿日期:2023年5月30日收稿日期:2023年7月4日

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

JP Journal of Algebra Number Theory and Applications MATHEMATICS-

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期刊介绍： The JP Journal of Algebra, Number Theory and Applications is a peer-reviewed international journal. Original research papers theoretical, computational or applied, in nature, in any branch of Algebra and Number Theory are considered by the JPANTA. Together with the core topics in these fields along with their interplay, the journal promotes contributions in Diophantine equations, Representation theory, and Cryptography. Realising the need of wide range of information for any emerging area of potential research, the journal encourages the submission of related survey articles as well.