Loop of prime order: Difference between revisions

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{algebra loop property}}
{{algebra loop property}}
{{analogue of property|
old generic context = group|
old specific context = group|
new generic context = algebra loop|
new specific context = algebra loop|
old property = group of prime order}}


==Definition==
==Definition==


A '''loop of prime order''' is defined as an [[algebra loop]] whose [[defining ingredient::order of a loop|order]] is a [[defining ingredient::prime number]].
A '''loop of prime order''' is defined as an [[algebra loop]] whose [[defining ingredient::order of a loop|order]] is a [[defining ingredient::prime number]].

Revision as of 15:39, 9 March 2010

This article defines a property that can be evaluated for a loop.
View other properties of loops

ANALOGY: This is an analogue in algebra loop of a property encountered in group. Specifically, it is a algebra loop property analogous to the group property: group of prime order
View other analogues of group of prime order | View other analogues in algebra loops of group properties (OR, View as a tabulated list)

Definition

A loop of prime order is defined as an algebra loop whose order is a prime number.