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Some properties of orders of quaternion algebras with regard to the discrete norm

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    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

     
     
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