验证五次多项式恒等式的交换代数的推导与表示

IF 1 Q1 MATHEMATICS European Journal of Pure and Applied Mathematics Pub Date : 2023-10-30 DOI:10.29020/nybg.ejpam.v16i4.4924

Hamed Ouédraogo, Abdoulaye Dembega, André Conseibo

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摘要

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，任何验证这种恒等式的交换代数都允许Peirce分解。利用这种分解，我们开始研究这类代数的导数和表示。

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

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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