Ring detail


Name: Hurwitz quaternions

Description: $\left\{a+bi+cj+dk \in \mathbb{H} \mid a,b,c,d \in \mathbb{Z} \;\mbox{ or }\, a,b,c,d \in \mathbb{Z} + \tfrac{1}{2}\right\}$

Notes: Has a Euclidean division algorithm. Maximal order in the rational quaternions.

Krull dimension: (unknown)

Keywords quaternion algebra subring

Reference(s):

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