Order (mathematics): Difference between revisions
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imported>Richard Pinch (convert to r template) |
imported>Daniel Mietchen (Currently transcluded to Order (disambiguation), so 2nd {{tl|disambig}} not needed) |
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{{dabhdr|In mathematics, Order}} | |||
{{dabhdr|Order}} | |||
{{r|Cardinality|Order of a finite set or algebraic structure}} | {{r|Cardinality|Order of a finite set or algebraic structure}} | ||
Revision as of 04:43, 21 November 2008
- 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]