ordered ring (original) (raw)
An ordered field is an ordered ring (R,≤) where R is also a field.
Examples of ordered rings include:
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The integers ℤ, under the standard ordering
≤.
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- •
Examples of rings which do not admit any ordering relation making them into an ordered ring include:
| Title | ordered ring |
|---|---|
| Canonical name | OrderedRing |
| Date of creation | 2013-03-22 11:52:06 |
| Last modified on | 2013-03-22 11:52:06 |
| Owner | djao (24) |
| Last modified by | djao (24) |
| Numerical id | 13 |
| Author | djao (24) |
| Entry type | Definition |
| Classification | msc 06F25 |
| Classification | msc 12J15 |
| Classification | msc 13J25 |
| Classification | msc 11D41 |
| Related topic | TotalOrder |
| Related topic | OrderingRelation |
| Defines | ordered field |