Integral embeddings of central simple algebras over number fields

Fuente: arXiv
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Autores principales: Xie, Jiaqi, Xu, Fei
Formato: Preprint
Publicado: 2025
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author Xie, Jiaqi
Xu, Fei
author_facet Xie, Jiaqi
Xu, Fei
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04743
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Integral embeddings of central simple algebras over number fields
Xie, Jiaqi
Xu, Fei
Number Theory
14G12, 11E57, 11E72
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.
title Integral embeddings of central simple algebras over number fields
topic Number Theory
14G12, 11E57, 11E72
url https://arxiv.org/abs/2502.04743