Ordered structure: Difference between revisions
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In [[mathematics]], an '''ordered structure''' is an [[algebraic structure]] which possesses an [[order relation]] compatible with the algebraic operations. | In [[mathematics]], an '''ordered structure''' is an [[algebraic structure]] which possesses an [[order relation]] compatible with the algebraic operations. | ||
Latest revision as of 16:33, 7 February 2009
In mathematics, an ordered structure is an algebraic structure which possesses an order relation compatible with the algebraic operations.
Examples include:
- Ordered set [r]: A set with an order relation [e]
- Ordered field [r]: A field with a total order which is compatible with the algebraic operations. [e]