Algebraic Structures Registry

QuaternionOctonionSedenionCayley–Dickson ConstructionAssociatorZero DivisorAnnihilator (Cayley–Dickson)Alternative AlgebraComposition AlgebraPower AssociativityHurwitz's Theorem (Composition Algebras)Normed Division AlgebraDivision AlgebraDedekind DomainFinite Field