Order, lattices, ordered algebraic structures Ordered algebraic structures Concept
Ordered ring
Summary
An ordered ring is a commutative ring with a total order that is preserved by addition and for which products of nonnegative elements are nonnegative. The integers are the basic example, and every ordered field is an ordered ring. In an ordered ring every square is nonnegative, and the usual rules for inequalities hold.
Further reading
About this page
| Tag | H6WXC7Q71A |
|---|---|
| URI | m2://H6WXC7Q71A |
| Kind | concept |
| Writing | W0 stub |
| MSC | 06F25, 12J15 |
| Specializes | Partially ordered ring |
| Same as | |
| Changed | 2 November 2026 |
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