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- Epigroup abstract "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.Epigroups are known by wide variety of other names, including quasi-periodic semigroup, group-bound semigroup, completely π-regular semigroup, strongly π-regular semigroup (sπr), or just π-regular semigroup (although the latter is ambiguous).More generally, in an arbitrary semigroup an element is called group-bound if it has a power that belongs to a subgroup.Epigroups have applications to ring theory. Many of their properties are studied in this context.Epigroups were first studied by Douglas Munn in 1961, who called them pseudoinvertible.".
- Epigroup wikiPageID "37300268".
- Epigroup wikiPageLength "5357".
- Epigroup wikiPageOutDegree "29".
- Epigroup wikiPageRevisionID "697461570".
- Epigroup wikiPageWikiLink Abstract_algebra.
- Epigroup wikiPageWikiLink Algebraic_semigroup.
- Epigroup wikiPageWikiLink Artin–Wedderburn_theorem.
- Epigroup wikiPageWikiLink Brandt_semigroup.
- Epigroup wikiPageWikiLink Cancellative_semigroup.
- Epigroup wikiPageWikiLink Category:Algebraic_structures.
- Epigroup wikiPageWikiLink Category:Semigroup_theory.
- Epigroup wikiPageWikiLink Completely_regular_semigroup.
- Epigroup wikiPageWikiLink Division_ring.
- Epigroup wikiPageWikiLink Douglas_Munn.
- Epigroup wikiPageWikiLink Greens_relations.
- Epigroup wikiPageWikiLink Group_(mathematics).
- Epigroup wikiPageWikiLink Ideal_extension.
- Epigroup wikiPageWikiLink Idempotence.
- Epigroup wikiPageWikiLink If_and_only_if.
- Epigroup wikiPageWikiLink Krohn–Rhodes_theory.
- Epigroup wikiPageWikiLink Monogenic_semigroup.
- Epigroup wikiPageWikiLink Nambooripad_order.
- Epigroup wikiPageWikiLink Natural_number.
- Epigroup wikiPageWikiLink Partition_of_a_set.
- Epigroup wikiPageWikiLink Regular_semigroup.
- Epigroup wikiPageWikiLink Ring_theory.
- Epigroup wikiPageWikiLink Semigroup.
- Epigroup wikiPageWikiLink Special_classes_of_semigroups.
- Epigroup wikiPageWikiLink Subgroup.
- Epigroup wikiPageWikiLinkText "Epigroup".
- Epigroup wikiPageWikiLinkText "epigroup".
- Epigroup wikiPageUsesTemplate Template:Reflist.
- Epigroup wikiPageUsesTemplate Template:Rp.
- Epigroup subject Category:Algebraic_structures.
- Epigroup subject Category:Semigroup_theory.
- Epigroup hypernym Semigroup.
- Epigroup comment "In abstract algebra, an epigroup is a semigroup in which every element has a power that belongs to a subgroup.".
- Epigroup label "Epigroup".
- Epigroup sameAs Q5382940.
- Epigroup sameAs m.0n5vdvp.
- Epigroup sameAs Q5382940.
- Epigroup wasDerivedFrom Epigroup?oldid=697461570.
- Epigroup isPrimaryTopicOf Epigroup.