Difference between revisions of "Division ring"

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In [[algebra]], a '''division ring''' is a ring in which every non-zero element is invertible.
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In [[algebra]], a '''division ring''' or '''skew field''' is a ring in which every non-zero element is invertible.
  
 
A [[commutativity|commutative]] division ring is a [[field (mathematics)|field]].
 
A [[commutativity|commutative]] division ring is a [[field (mathematics)|field]].

Revision as of 14:12, 22 December 2008

In algebra, a division ring or skew field is a ring in which every non-zero element is invertible.

A commutative division ring is a field.

The centre C of a division ring A is a field, and hence A may be regarded as a C-algebra.

Examples

References