English

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

Rings and Algebras 2025-02-06 v1

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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Cite

@article{arxiv.2502.02888,
  title  = {Central orders in simple right-alternative superalgebras and right-symmetric algebras},
  author = {A. S. Panasenko},
  journal= {arXiv preprint arXiv:2502.02888},
  year   = {2025}
}

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9 pages