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

Horníček, Jan, Kureš, Miroslav, and Macálková, Lenka. "Some properties of orders of quaternion algebras with regard to the discrete norm." Mathematica Bohemica 141.3 (2016): 385-405. <http://eudml.org/doc/286802>.

@article{Horníček2016,
abstract = {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.},
author = {Horníček, Jan, Kureš, Miroslav, Macálková, Lenka},
journal = {Mathematica Bohemica},
keywords = {order in an imaginary quadratic field; order in a quaternion algebra; discretely normed ring; isomorphism; primitive algebra},
language = {eng},
number = {3},
pages = {385-405},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some properties of orders of quaternion algebras with regard to the discrete norm},
url = {http://eudml.org/doc/286802},
volume = {141},
year = {2016},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 141
IS - 3
SP - 385
EP - 405
AB - 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.
LA - eng
KW - order in an imaginary quadratic field; order in a quaternion algebra; discretely normed ring; isomorphism; primitive algebra
UR - http://eudml.org/doc/286802
ER -