Epigroup

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Revision as of 21:43, 4 July 2008 by Vipul (talk | contribs) (New page: {{variation of|group}} {{semigroup property}} ==Definition== An '''epigroup''' (also termed a '''group-bound semigroup''') is a semigroup with the property that every element has a p...)
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This is a variation of group|Find other variations of group | Read a survey article on varying group
This article defines a semigroup property: a property that can be evaluated to true/false for any given semigroup
View a complete list of semigroup properties

Definition

An epigroup (also termed a group-bound semigroup) is a semigroup with the property that every element has a power, such that the subsemigroup generated by that power, is a subgroup (i.e., a group under the induced multiplication).

Relation with other properties

Stronger properties

Weaker properties

External links