Order (mathematics): Difference between revisions
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imported>Richard Pinch (added definition of Order (group theory)) |
imported>Daniel Mietchen (-disambig; not sure whether this should remain here or be merged into order (disambiguation) into which it is currently transcluded) |
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* [[Order (relation)]], an irreflexive antisymmetric transitive binary [[relation (mathematics)|relation]] | * [[Order (relation)]], an irreflexive antisymmetric transitive binary [[relation (mathematics)|relation]] | ||
* [[Order (ring theory)]], a [[ring (mathematics)|ring]] which is finitely generated as a '''Z'''-module | * [[Order (ring theory)]], a [[ring (mathematics)|ring]] which is finitely generated as a '''Z'''-module | ||
Revision as of 06:07, 19 November 2008
In mathematics, order may refer to
- The cardinality of a finite set or algebraic structure
- Order (group theory), the least positive integer (if one exists) such that raising a group element to that power gives the identity
- Order (relation), an irreflexive antisymmetric transitive binary relation
- Order (ring theory), a ring which is finitely generated as a Z-module