Examples
- As noted above, all fields are division rings.
- The real and rational quaternions (q.v.) are strictly noncommutative division rings.
- Rings of Laurent series with coefficients in the complex numbers form strictly noncommutative division rings.
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“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
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“Histories are more full of examples of the fidelity of dogs than of friends.”
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