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arXiv · 2502.02888

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

A. S. Panasenko
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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)

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A. S. Panasenko. 2025-02-05. Central orders in simple right-alternative superalgebras and right-symmetric algebras. https://doi.org/10.33048/semi.2025.22.007

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