Integral embeddings of central simple algebras over number fields

2025/02/07 by Fei Xu, Xie, Jiaqi, Xu, Fei · 1 citation
Mathematics · #11E57 #11E72 #14G12 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2502.04743

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

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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• Maximal orders optimal embedding of central simple algebras over number fields

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