Order (mathematics): Difference between revisions

Revision as of 16:19, 20 November 2008

This disambiguation page lists articles associated with the same or a similar title.

Order of a finite set or algebraic structure [r]: The size, i.e., the number of elements, of a (possibly infinite) set. ^[e]
Order (group theory) [r]: For a group, its cardinality; for an element of a group, the least positive integer (if one exists) such that raising the element to that power gives the identity. ^[e]
Order (relation) [r]: An irreflexive antisymmetric transitive binary relation on a set. ^[e]
Order (ring theory) [r]: A ring which is finitely generated as a Z-module. ^[e]

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-In [[mathematics]], '''order''' may refer to
+{{disambig}}
+{{dabhdr|Order}}
-* The [[cardinality]] of a finite set or algebraic structure
+{{r|Cardinality|Order 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
+{{r|Order (group theory)}}
-* [[Order (relation)]], an irreflexive antisymmetric transitive binary [[relation (mathematics)|relation]]
+{{r|Order (relation)}}
-* [[Order (ring theory)]], a [[ring (mathematics)|ring]] which is finitely generated as a '''Z'''-module
+{{r|Order (ring theory)}}