Original scientific paper

https://doi.org/10.3336/gm.56.1.05

On quaternion algebras over the composite of quadratic number fields

Vincenzo Acciaro orcid.org/0000-0001-5824-3935 ; Dipartimento di Economia, Università di Chieti-Pescara, Viale della Pineta, 4, 65127 Pescara, Italy
Diana Savin ; Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu street 50, Braşov 500091, Romania
Mohammed Taous orcid.org/0000-0003-3366-5124 ; Department of Mathematics, Faculty of Sciences and Technology, Moulay Ismail University, Errachidia, Morocco
Abdelkader Zekhnini ; Department Mathematics and Informatics, Sciences Faculty, Oujda, Mohammed First University, Nador, Morocco

Abstract

Let p and q be two positive prime integers. In this paper we obtain a complete characterization of division quaternion algebras HK(p, q) over the composite K of n quadratic number fields.

Keywords

Quaternion algebras, quadratic fields, biquadratic fields, composite of quadratic fields, ramification theory in algebraic number fields

Hrčak ID:

259301

URI

https://hrcak.srce.hr/259301

Publication date:

24.6.2021.

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