Finite loop: Difference between revisions
(Created page with '{{algebra loop property}} ==Definition== An algebra loop is termed a '''finite loop''' or '''finite algebra loop''' if its underlying set is finite, i.e., the [[defining in…') |
No edit summary |
||
Line 1: | Line 1: | ||
{{ | {{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== | ||
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.