Central orders in simple right-alternative superalgebras and right-symmetric algebras

2025/02/05 by A. S. Panasenko, Panasenko, A. S.
Computer Science · Mathematics · #17A70 #17D15 #17D25 #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2502.02888

openalex publication_date 2025/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider some recently constructed examples of simple finite-dimensional right-alternative superalgebras and right-symmetric algebras. We prove that the central order in any of these algebras and superalgebras is embedded in a finite module over its center (or over the even part of its center in the case of superalgebras)

Related

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• Center-symmetric algebras and bialgebras: relevant properties and consequences
• On central orderings
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• Embedding Orders Into Central Simple Algebras