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arxiv: 0904.4310 · v5 · pith:HSCAJZRQnew · submitted 2009-04-28 · 🧮 math.NT

Characterizing quaternion rings over an arbitrary base

classification 🧮 math.NT
keywords algebrasarbitrarybasequaternionringsalgebracharacterizecharacterizing
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We consider the class of algebras of rank 4 equipped with a standard involution over an arbitrary base ring. In particular, we characterize quaternion rings, those algebras defined by the construction of the even Clifford algebra.

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