| dbo:abstract |
In the area of mathematics known as semigroup theory, an E-semigroup is a semigroup in which the idempotents form a subsemigroup. Certain classes of E-semigroups have been studied long before the more general class, in particular, a regular semigroup that is also an E-semigroup is known as an orthodox semigroup. Weipoltshammer proved that the notion of weak inverse (the existence of which is one way to define E-inversive semigroups) can also be used to define/characterize E-semigroups as follows: a semigroup S is an E-semigroup if and only if, for all a and b ∈ S, W(ab) = W(b)W(a), where W(x) ≝ {x ∈ S | xax = x} is the set of weak inverses of x. (en) Inom matematiken är en E-semigrupp en semigrupp där idempotenterna bildar en . (sv) |
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43724607 (xsd:integer) |
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1182 (xsd:nonNegativeInteger) |
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695972780 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbc:Semigroup_theory dbr:Mathematics dbr:Orthodox_semigroup dbr:Subsemigroup dbc:Algebraic_structures dbr:Semigroup dbr:Regular_semigroup dbr:Weak_inverse dbr:Idempotent dbr:Semigroup_theory dbr:E-inversive_semigroup |
| dbp:wikiPageUsesTemplate |
dbt:Algebra-stub dbt:Reflist |
| dcterms:subject |
dbc:Semigroup_theory dbc:Algebraic_structures |
| gold:hypernym |
dbr:Semigroup |
| rdfs:comment |
Inom matematiken är en E-semigrupp en semigrupp där idempotenterna bildar en . (sv) In the area of mathematics known as semigroup theory, an E-semigroup is a semigroup in which the idempotents form a subsemigroup. Certain classes of E-semigroups have been studied long before the more general class, in particular, a regular semigroup that is also an E-semigroup is known as an orthodox semigroup. (en) |
| rdfs:label |
E-semigroup (en) E-semigrupp (sv) |
| owl:sameAs |
freebase:E-semigroup yago-res:E-semigroup wikidata:E-semigroup dbpedia-sv:E-semigroup https://global.dbpedia.org/id/kwpb |
| prov:wasDerivedFrom |
wikipedia-en:E-semigroup?oldid=695972780&ns=0 |
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wikipedia-en:E-semigroup |
| is dbo:wikiPageWikiLink of |
dbr:E-dense_semigroup dbr:Orthodox_semigroup |
| is foaf:primaryTopic of |
wikipedia-en:E-semigroup |