EntityQ1361031· pop 11· linked from 17 articlesFrobenius theoremSign in to savetheorem that the finite-dimensional associative division algebras over the reals are either the reals, the complex numbers, or the quaternionsConnectionsHurwitz's theoremEntityassociative algebraEntitymathematicsEntityInternational Standard Book NumberEntitycomplex numberEntityreal numberEntitymathematical proofEntitytheoremEntityvector spaceEntitypolynomialEntityabstract algebraEntityquaternionEntityisomorphismEntityfundamental theorem of algebraEntityCambridge University PressEntityif and only ifEntityzero of a functionEntitytraceEntityLev PontryaginEntityoctonionEntityCategoriesAlgebrasQuaternionsTheorems about algebras