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Integral embeddings of central simple algebras over number fields

Number Theory 2025-02-10 v1

Abstract

A criterion for determining exactly when an order of a maximal subfield of a central simple algebra over a number field can be embedded into an order of this algebra is given. Various previous results have been generalized and recovered by applying this criterion.

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Cite

@article{arxiv.2502.04743,
  title  = {Integral embeddings of central simple algebras over number fields},
  author = {Jiaqi Xie and Fei Xu},
  journal= {arXiv preprint arXiv:2502.04743},
  year   = {2025}
}

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13 pages