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In abstract algebra, an epigroup is a semigroup in which every element has a power that belongs to a subgroup. Formally, for all x in a semigroup S, there exists a positive integer n and a subgroup G of S such that xn belongs to G.
Measurement, Properties & Structure
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semigroup epigroups subgroup semigroups also called belongs element every ring power group-bound studied class regular subsemigroup properties periodic classes unipotency
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Epigroup | is a | semigroup in which every element has a power that belongs to a subgroup | 0.90 | text |
| Epigroup | is a | group.Green's relations D and J coincide for any epigroup.If S is an epigroup | 0.90 | text |
| Epigroup | related to Examples | The | 0.60 | section |
| Epigroup | related to Examples | Artinian | 0.60 | section |
| Epigroup | related to Examples | Any | 0.60 | section |
| Epigroup | related to Properties | Epigroups | 0.60 | section |
| Epigroup | related to Properties | The | 0.60 | section |
| Epigroup | related to Properties | All | 0.60 | section |
| Epigroup | related to Properties | Green's | 0.60 | section |
| Epigroup | related to Properties | If | 0.60 | section |
| Epigroup | related to Properties | In | 0.60 | section |
| Epigroup | related to Properties | Nambooripad | 0.60 | section |
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