Order (mathematics): Difference between revisions

Revision as of 00:49, 1 June 2009

In mathematics, Order might refer to:

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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