Geodesic
Some properties of orders of quaternion algebras with regard to the discrete norm
Mathematica Bohemica, Tome 141 (2016) no. 3, pp. 385-405
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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.
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.
DOI : 10.21136/MB.2016.0026-15
Classification : 11R52, 16H05, 16H20
Keywords: order in an imaginary quadratic field; order in a quaternion algebra; discretely normed ring; isomorphism; primitive algebra 
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Horníček, Jan; Kureš, Miroslav; Macálková, Lenka. Some properties of orders of quaternion algebras with regard to the discrete norm. Mathematica Bohemica, Tome 141 (2016) no. 3, pp. 385-405. doi: 10.21136/MB.2016.0026-15

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