Rees factor semigroup (original) (raw)
Kongruencje Reesa - rodzaj kongruencji w teorii półgrup. Nazwa pochodzi od nazwiska Davida Reesa. Kongruencje Reesa zadawane są przez ideały półgrupy, podobnie jak kongruencje w pierścieniach. Jednak nie wszystkie kongruencje w półgrupach są kongruencjami Reesa.
| Property | Value |
|---|---|
| dbo:abstract | In mathematics, in semigroup theory, a Rees factor semigroup (also called Rees quotient semigroup or just Rees factor), named after David Rees, is a certain semigroup constructed using a semigroup and an ideal of the semigroup. Let S be a semigroup and I be an ideal of S. Using S and I one can construct a new semigroup by collapsing I into a single element while the elements of S outside of I retain their identity. The new semigroup obtained in this way is called the Rees factor semigroup of S modulo I and is denoted by S/I. The concept of Rees factor semigroup was introduced by David Rees in 1940. (en) Em matemática, na teoria de semigrupos, um semigrupo fator de Rees (também chamado de semigrupo quociente de Rees ou apenas fator de Rees), assim chamado em referência a David Rees, é um certo tipo de semigrupo construído usando um semigrupo e um ideal do semigrupo. Seja S um semigrupo e seja I um ideal de S. Usando S e I, pode-se construir um novo semigrupo fundindo I em um único elemento, e mantendo a identidade dos elementos de S fora de I. O novo semigrupo obtido desta forma é chamado de semigrupo fator de Rees de S módulo I e é denotado por S/I. O conceito de semigrupo fator de Rees foi introduzido por David Rees em 1940. (pt) Kongruencje Reesa - rodzaj kongruencji w teorii półgrup. Nazwa pochodzi od nazwiska Davida Reesa. Kongruencje Reesa zadawane są przez ideały półgrupy, podobnie jak kongruencje w pierścieniach. Jednak nie wszystkie kongruencje w półgrupach są kongruencjami Reesa. (pl) |
| dbo:wikiPageID | 22795102 (xsd:integer) |
| dbo:wikiPageLength | 6224 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID | 1118858753 (xsd:integer) |
| dbo:wikiPageWikiLink | dbr:David_Rees_(mathematician) dbc:Semigroup_theory dbr:Mathematics dbr:Semigroup dbr:Group_(mathematics) dbr:Commutative_semigroup dbr:Semigroup_theory dbr:Subset dbr:Cancellation_semigroup dbr:Quotient_semigroup dbr:Ideal_of_a_semigroup dbr:Completely_0-simple_semigroup dbr:Completely_simple_semigroup dbr:Semigroup_congruence |
| dbp:id | 3517 (xsd:integer) |
| dbp:title | Rees factor (en) |
| dbp:wikiPageUsesTemplate | dbt:Cite_book dbt:Reflist dbt:PlanetMath_attribution |
| dcterms:subject | dbc:Semigroup_theory |
| gold:hypernym | dbr:Semigroup |
| rdfs:comment | Kongruencje Reesa - rodzaj kongruencji w teorii półgrup. Nazwa pochodzi od nazwiska Davida Reesa. Kongruencje Reesa zadawane są przez ideały półgrupy, podobnie jak kongruencje w pierścieniach. Jednak nie wszystkie kongruencje w półgrupach są kongruencjami Reesa. (pl) In mathematics, in semigroup theory, a Rees factor semigroup (also called Rees quotient semigroup or just Rees factor), named after David Rees, is a certain semigroup constructed using a semigroup and an ideal of the semigroup. Let S be a semigroup and I be an ideal of S. Using S and I one can construct a new semigroup by collapsing I into a single element while the elements of S outside of I retain their identity. The new semigroup obtained in this way is called the Rees factor semigroup of S modulo I and is denoted by S/I. (en) Em matemática, na teoria de semigrupos, um semigrupo fator de Rees (também chamado de semigrupo quociente de Rees ou apenas fator de Rees), assim chamado em referência a David Rees, é um certo tipo de semigrupo construído usando um semigrupo e um ideal do semigrupo. Seja S um semigrupo e seja I um ideal de S. Usando S e I, pode-se construir um novo semigrupo fundindo I em um único elemento, e mantendo a identidade dos elementos de S fora de I. O novo semigrupo obtido desta forma é chamado de semigrupo fator de Rees de S módulo I e é denotado por S/I. (pt) |
| rdfs:label | Rees factor semigroup (en) Kongruencje Reesa (pl) Semigrupo fator de Rees (pt) |
| owl:sameAs | freebase:Rees factor semigroup wikidata:Rees factor semigroup dbpedia-pl:Rees factor semigroup dbpedia-pt:Rees factor semigroup https://global.dbpedia.org/id/4tSwG |
| prov:wasDerivedFrom | wikipedia-en:Rees_factor_semigroup?oldid=1118858753&ns=0 |
| foaf:isPrimaryTopicOf | wikipedia-en:Rees_factor_semigroup |
| is dbo:knownFor of | dbr:David_Rees_(mathematician) |
| is dbo:wikiPageRedirects of | dbr:Rees_congruence dbr:Rees_factor dbr:Rees_quotient_semigroup |
| is dbo:wikiPageWikiLink of | dbr:David_Rees_(mathematician) dbr:Semigroup dbr:Rees_congruence dbr:Rees_factor dbr:Rees_quotient_semigroup |
| is foaf:primaryTopic of | wikipedia-en:Rees_factor_semigroup |