{ "d" : { "results": [ { "__metadata": { "uri": "http://dbpedia.org/resource/Goursat's_lemma" }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Abstraction100002137" } }, "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "http://fr.dbpedia.org/resource/Lemme_de_Goursat" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Graph_of_a_function" } }, "http://dbpedia.org/ontology/abstract": "Lemat Goursata – twierdzenie teorii grup charakteryzujące podgrupy iloczynu prostego dwóch grup. Pierwszy raz pojawiło się ono w pracy Édouarda Goursata pt. Sur les substitutions orthogonales et les divisions régulières de l’espace („O podstawieniach ortogonalnych i podziałach regularnych przestrzeni”) z 1889 roku. W pokazane zostanie, w jaki sposób można udowodnić za jego pomocą lemat Zassenhausa.", "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Mathematical_proof" } }, "http://purl.org/dc/terms/subject": { "__deferred": { "uri": "http://dbpedia.org/resource/Category:Articles_containing_proofs" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Goursat's_integral_lemma" } }, "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "http://www.wikidata.org/entity/Q2387837" } }, "http://dbpedia.org/property/wikiPageUsesTemplate": { "__deferred": { "uri": "http://dbpedia.org/resource/Template:Expand_section" } }, "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "https://global.dbpedia.org/id/2FfWh" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Normal_subgroup" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Surjective" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Category:Articles_containing_proofs" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Function_(mathematics)" } }, "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "http://yago-knowledge.org/resource/Goursat's_lemma" } }, "http://purl.org/dc/terms/subject": { "__deferred": { "uri": "http://dbpedia.org/resource/Category:Lemmas_in_group_theory" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Maltsev_variety" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Theorem" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Abelian_Variety" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Inverse_function" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Well-defined" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Zassenhaus_lemma" } }, "http://www.w3.org/2000/01/rdf-schema#label": "Teorema de Goursat", "http://www.w3.org/2000/01/rdf-schema#label": "Lemme de Goursat", "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Theorem106752293" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Schreier_refinement_theorem" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Lemma106751833" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Communication100033020" } }, "http://www.w3.org/ns/prov#wasDerivedFrom": { "__deferred": { "uri": "http://en.wikipedia.org/wiki/Goursat's_lemma?oldid=1065925656&ns=0" } }, "http://xmlns.com/foaf/0.1/isPrimaryTopicOf": { "__deferred": { "uri": "http://en.wikipedia.org/wiki/Goursat's_lemma" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Group_isomorphism" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://www.w3.org/2002/07/owl#Thing" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Kernel_(algebra)" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Projection_(mathematics)" } }, "http://dbpedia.org/property/wikiPageUsesTemplate": { "__deferred": { "uri": "http://dbpedia.org/resource/Template:Distinguish" } }, "http://dbpedia.org/ontology/wikiPageID": "5114212", "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Vertical_line_test" } }, "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "http://es.dbpedia.org/resource/Teorema_de_Goursat" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/France" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/WikicatLemmas" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Subdirect_product" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Snake_lemma" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Group_(mathematics)" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Édouard_Goursat" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Statement106722453" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/American_Journal_of_Mathematics" } }, "http://dbpedia.org/ontology/abstract": "En algèbre, le lemme de Goursat est un théorème de la théorie des groupes.", "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Jordan–Hölder_theorem" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Direct_product_of_groups" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Algebra" } }, "http://www.w3.org/2000/01/rdf-schema#comment": "En algèbre, le lemme de Goursat est un théorème de la théorie des groupes.", "http://dbpedia.org/ontology/abstract": "Goursat's lemma, named after the French mathematician Édouard Goursat, is an algebraic theorem about subgroups of the direct product of two groups. It can be stated more generally in a (and consequently it also holds in any Maltsev variety), from which one recovers a more general version of Zassenhaus' butterfly lemma. In this form, Goursat's theorem also implies the snake lemma.", "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Group_homomorphism" } }, "http://www.w3.org/2000/01/rdf-schema#comment": "Lemat Goursata – twierdzenie teorii grup charakteryzujące podgrupy iloczynu prostego dwóch grup. Pierwszy raz pojawiło się ono w pracy Édouarda Goursata pt. Sur les substitutions orthogonales et les divisions régulières de l’espace („O podstawieniach ortogonalnych i podziałach regularnych przestrzeni”) z 1889 roku. W pokazane zostanie, w jaki sposób można udowodnić za jego pomocą lemat Zassenhausa.", "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/WikicatMathematicalTheorems" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Mathematician" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Category:Lemmas_in_group_theory" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Galois" } }, "http://purl.org/linguistics/gold/hypernym": { "__deferred": { "uri": "http://dbpedia.org/resource/Theorem" } }, "http://dbpedia.org/property/wikiPageUsesTemplate": { "__deferred": { "uri": "http://dbpedia.org/resource/Template:Cite_book" } }, "http://dbpedia.org/ontology/wikiPageLength": "7453", "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Complex_analysis" } }, "http://www.w3.org/2000/01/rdf-schema#label": "Goursat's lemma", "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Proposition106750804" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Message106598915" } }, "http://www.w3.org/2000/01/rdf-schema#label": "Lemat Goursata", "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Goursat_variety" } }, "http://www.w3.org/2000/01/rdf-schema#comment": "Goursat's lemma, named after the French mathematician Édouard Goursat, is an algebraic theorem about subgroups of the direct product of two groups. It can be stated more generally in a (and consequently it also holds in any Maltsev variety), from which one recovers a more general version of Zassenhaus' butterfly lemma. In this form, Goursat's theorem also implies the snake lemma.", "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Ken_Ribet" } }, "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "http://pl.dbpedia.org/resource/Lemat_Goursata" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Relation_(mathematics)" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Subgroup" } }, "http://www.w3.org/2000/01/rdf-schema#comment": "El teorema de Goursat es un resultado en teoría de grupos que describe los subgrupos de un producto directo en términos de grupos cocientes. El teorema fue presentado en 1889​ por (1858-1936).", "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "http://rdf.freebase.com/ns/m.0d3884" } }, "http://dbpedia.org/ontology/abstract": "El teorema de Goursat es un resultado en teoría de grupos que describe los subgrupos de un producto directo en términos de grupos cocientes. El teorema fue presentado en 1889​ por (1858-1936).", "http://dbpedia.org/ontology/wikiPageRevisionID": "1065925656", "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Group_action_(mathematics)" } } } ], "__count": "1" } }