Order (mathematics): Difference between revisions
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{{r|Cardinality|Order of a finite set or algebraic structure}} | {{r|Cardinality|Order of a finite set or algebraic structure}} | ||
{{r|Order (group theory)}} | {{r|Order (group theory)}} | ||
{{r|Order (relation)}} | {{r|Order (relation)}} | ||
{{r|Order (ring theory)}} | {{r|Order (ring theory)}} | ||
''See also [[Order (disambiguation)]] for uses beyond [[mathematics]].'' | |||
Latest revision as of 16:37, 14 April 2010
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]
See also Order (disambiguation) for uses beyond mathematics.