Division ring
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Revision as of 08:07, 16 January 2011 by Boris Tsirelson (talk | contributions)
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.
[edit] Examples
- The quaternions form a division ring.
[edit] References
- Serge Lang (1993). Algebra, 3rd ed. Addison-Wesley, 84,642. ISBN 0-201-55540-9.
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