KnowraNoncommutative algebraLinked fromLinked fromThe 6 pages that link to Noncommutative algebra, each with the reason it gives.All 6Related 2Narrower topic 3Compared with 1William Rowan HamiltonNarrower topic: Quaternion multiplication established a prominent early example of noncommutative algebra.Commutative algebraCompared with: Many commutative techniques rely on ideals and prime spectra behaving differently without commutativity.Matrix mechanicsRelated: The order-sensitive multiplication of physical quantities is the formulation’s defining mathematics.Baker–Campbell–Hausdorff formulaNarrower topic: The formula’s extra terms vanish only when the exponents commute.Lie product formulaRelated: The formula remains valid when the summands do not commute.Golden–Thompson inequalityNarrower topic: The inequality is useful precisely when A and B need not commute.