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Keywords:
order in an imaginary quadratic field; order in a quaternion algebra; discretely normed ring; isomorphism; primitive algebra
order in an imaginary quadratic field; order in a quaternion algebra; discretely normed ring; isomorphism; primitive algebra
Summary:
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.
References:
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