Quaternions (4D) — History of Non-associative Algebra
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Quaternions (4D) (Theorem) in History of Non-associative Algebra. Era: 1843. Formula: ℍ, |xy| = |x||y|; first non-commutative, associative. Origin axiom of path: Quaternions (Hamilton 1843). Modern reach: Cayley–Dickson construction · ℝ→ℂ→ℍ→O→S→….