Some properties of orders of quaternion algebras with regard to the discrete norm
Mathematica Bohemica, Tome 141 (2016) no. 3, pp. 385-405
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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
Keywords: order in an imaginary quadratic field; order in a quaternion algebra; discretely normed ring; isomorphism; primitive algebra
@article{10_21136_MB_2016_0026_15,
author = {Horn{\'\i}\v{c}ek, Jan and Kure\v{s}, Miroslav and Mac\'alkov\'a, Lenka},
title = {Some properties of orders of quaternion algebras with regard to the discrete norm},
journal = {Mathematica Bohemica},
pages = {385--405},
year = {2016},
volume = {141},
number = {3},
doi = {10.21136/MB.2016.0026-15},
mrnumber = {3557586},
zbl = {06644020},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2016.0026-15/}
}
TY - JOUR AU - Horníček, Jan AU - Kureš, Miroslav AU - Macálková, Lenka TI - Some properties of orders of quaternion algebras with regard to the discrete norm JO - Mathematica Bohemica PY - 2016 SP - 385 EP - 405 VL - 141 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2016.0026-15/ DO - 10.21136/MB.2016.0026-15 LA - en ID - 10_21136_MB_2016_0026_15 ER -
%0 Journal Article %A Horníček, Jan %A Kureš, Miroslav %A Macálková, Lenka %T Some properties of orders of quaternion algebras with regard to the discrete norm %J Mathematica Bohemica %D 2016 %P 385-405 %V 141 %N 3 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2016.0026-15/ %R 10.21136/MB.2016.0026-15 %G en %F 10_21136_MB_2016_0026_15
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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