Finite division rings are commutative
By Wedderburn's little theorem, every finite division ring is a field.
Finite division rings are commutative
Finite division rings are commutative: Every finite division ring is commutative; equivalently, every finite division ring is a field.
This is the standard corollary of Wedderburn's little theorem , which asserts that any finite division ring has commutative multiplication. Thus a finite division ring is a field .