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The number of types of maximal orders in a definite quaternion algebra containing a certain ...

I'm referring On the imbeddings of imaginary quadratic orders in definite quaternion orders by Brzezinski and Eichler here. Let $B$ be a definite quaternion algebra over $\mathbb{Q}$. Given an order $ …
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Are there any central simple algebras admitting a standard basis?

Are there any central simple algebras admitting a standard basis? By a standard basis I mean a normal basis that has a cyclic property generalizing that of the familiar basis $1, i, j, k$ for Quaterni …