Definition:Skew Field

From ProofWiki
Jump to navigation Jump to search


A skew field is a division ring whose ring product is specifically not commutative.

Also known as

The term sfield is sometimes encountered.

Some sources do not bother to give a specific name to this concept, but merely refer to a non-commutative division ring.


Quaternions form Skew Field

The set $\H$ of quaternions forms a skew field under the operations of addition and multiplication.

Also see

  • Results about skew fields can be found here.