Wedderburn's Little Theorem - Pure Mathematics - Algebra Dictionary Definition The theorem that every finite division ring is commutative; equivalently, any finite division ring is a finite field. It shows that noncommutative division algebras cannot be finite.
Wedderburn's Little Theorem - Pure Mathematics - Algebra Dictionary Definition The theorem that every finite division ring is commutative; equivalently, any finite division ring is a finite field. It shows that noncommutative division algebras cannot be finite.