Integral embeddings of central simple algebras over number fields

Frontiers in Combinatorics and Number Theory 2026 Open access

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Authors: Jiaqi Xie, Fei Xu
DOI: 10.3934/fcnt.2026006
Cited by: 0

Abstract

Let $ \mathcal A $ be a central simple algebra of degree $ n\geq 3 $ over a number field $ k $ and $ K/k $ be a field extension of degree $ n $ inside $ \mathcal A $. A criterion for determining exactly when an order of $ K $ can be embedded in an order of $ \mathcal A $ is given. Various previous results have been generalized and recovered by applying this criterion.

Fields of Study & Subjects

Advanced Algebra and Geometry Rings Modules and Algebras Algebraic Geometry and Number Theory

Publication details

Journal / source
Frontiers in Combinatorics and Number Theory
Volume
1
Issue
0
Pages
60–73
Publication date
1 January 2026
Language
EN