Finite loop: Difference between revisions

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


==Definition==
==Definition==


An [[algebra loop]] is termed a '''finite loop''' or '''finite algebra loop''' if its underlying set is finite, i.e., the [[defining ingredient::order of a loop|order]] is finite.
A [[loop]] is termed a '''finite loop''' or '''finite algebra loop''' if its underlying set is finite, i.e., the [[defining ingredient::order of a loop|order]] is finite.

Latest revision as of 16:05, 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 loop of a property encountered in group. Specifically, it is a loop property analogous to the group property: finite group
View other analogues of finite group | View other analogues in loops of group properties (OR, View as a tabulated list)

Definition

A loop is termed a finite loop or finite algebra loop if its underlying set is finite, i.e., the order is finite.