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Some properties of orders of quaternion algebras with regard to the discrete norm
- 1.0463473 - ÚVGZ 2017 RIV CZ eng J - Journal Article
Horníček, J. - Kureš, M. - Macálková, Lenka
Some properties of orders of quaternion algebras with regard to the discrete norm.
Mathematica Bohemica. Roč. 141, č. 3 (2016), s. 385-405. ISSN 0862-7959
R&D Projects: GA MŠMT(CZ) LO1415; GA MŠMT(CZ) LM2010007
Institutional support: RVO:67179843
Keywords : order in an imaginary quadratic field * order in a quaternion algebra * discretely normed ring * isomorphism * primitive algebra
OECD category: Applied mathematics
Quaternion algebras $(\frac{-1,b}{\mathbb{Q}})$ are investigated and isomorphisms between them are described. Furthermore, the orders of these algebras are presented and the uniqueness of the discrete norm for such orders is proved.
Permanent Link: http://hdl.handle.net/11104/0262666
Number of the records: 1