Integral embeddings of central simple algebras over number fields

Jiaqi Xie; Fei Xu

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arXiv · 2502.04743

Integral embeddings of central simple algebras over number fields

Jiaqi Xie·Fei Xu

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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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Jiaqi Xie, Fei Xu. 2025-02-07. Integral embeddings of central simple algebras over number fields. https://arxiv.org/abs/2502.04743

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