Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Section_(category_theory)> ?p ?o }
Showing triples 1 to 56 of
56
with 100 triples per page.
- Section_(category_theory) abstract "In category theory, a branch of mathematics, a section is a right inverse of some morphism. Dually, a retraction is a left inverse of some morphism.In other words, if f : X → Y and g : Y → X are morphisms whose composition f o g : Y → Y is the identity morphism on Y, then g is a section of f, and f is a retraction of g.Every section is a monomorphism, and every retraction is an epimorphism.In algebra the sections are also called split monomorphisms and the retractions split epimorphisms.In an abelian category, if f : X → Y is a split epimorphism with split monomorphism g : Y → X,then X is isomorphic to the direct sum of Y and the kernel of f.".
- Section_(category_theory) thumbnail Section_retract.svg?width=300.
- Section_(category_theory) wikiPageID "10630303".
- Section_(category_theory) wikiPageLength "2770".
- Section_(category_theory) wikiPageOutDegree "29".
- Section_(category_theory) wikiPageRevisionID "656113566".
- Section_(category_theory) wikiPageWikiLink Abelian_category.
- Section_(category_theory) wikiPageWikiLink Axiom_of_choice.
- Section_(category_theory) wikiPageWikiLink Basis_(linear_algebra).
- Section_(category_theory) wikiPageWikiLink Category:Category_theory.
- Section_(category_theory) wikiPageWikiLink Category:Homological_algebra.
- Section_(category_theory) wikiPageWikiLink Category_of_abelian_groups.
- Section_(category_theory) wikiPageWikiLink Category_of_modules.
- Section_(category_theory) wikiPageWikiLink Category_of_sets.
- Section_(category_theory) wikiPageWikiLink Category_of_vector_spaces.
- Section_(category_theory) wikiPageWikiLink Category_theory.
- Section_(category_theory) wikiPageWikiLink Direct_sum.
- Section_(category_theory) wikiPageWikiLink Dual_(category_theory).
- Section_(category_theory) wikiPageWikiLink Epimorphism.
- Section_(category_theory) wikiPageWikiLink Homological_algebra.
- Section_(category_theory) wikiPageWikiLink Identity_morphism.
- Section_(category_theory) wikiPageWikiLink Injective_function.
- Section_(category_theory) wikiPageWikiLink Inverse_function.
- Section_(category_theory) wikiPageWikiLink Kernel_(category_theory).
- Section_(category_theory) wikiPageWikiLink Mathematics.
- Section_(category_theory) wikiPageWikiLink Modular_arithmetic.
- Section_(category_theory) wikiPageWikiLink Monomorphism.
- Section_(category_theory) wikiPageWikiLink Morphism.
- Section_(category_theory) wikiPageWikiLink Quotient_space_(topology).
- Section_(category_theory) wikiPageWikiLink Section_(fiber_bundle).
- Section_(category_theory) wikiPageWikiLink Splitting_lemma.
- Section_(category_theory) wikiPageWikiLink Surjective_function.
- Section_(category_theory) wikiPageWikiLink Transversal_(combinatorics).
- Section_(category_theory) wikiPageWikiLink File:Section_retract.svg.
- Section_(category_theory) wikiPageWikiLinkText "Section (category theory)".
- Section_(category_theory) wikiPageWikiLinkText "category theory".
- Section_(category_theory) wikiPageWikiLinkText "coretraction".
- Section_(category_theory) wikiPageWikiLinkText "retraction".
- Section_(category_theory) wikiPageWikiLinkText "section".
- Section_(category_theory) wikiPageWikiLinkText "sections".
- Section_(category_theory) wikiPageWikiLinkText "split epi".
- Section_(category_theory) wikiPageWikiLinkText "split mono".
- Section_(category_theory) hasPhotoCollection Section_(category_theory).
- Section_(category_theory) wikiPageUsesTemplate Template:Cattheory-stub.
- Section_(category_theory) wikiPageUsesTemplate Template:Unreferenced.
- Section_(category_theory) subject Category:Category_theory.
- Section_(category_theory) subject Category:Homological_algebra.
- Section_(category_theory) hypernym Inverse.
- Section_(category_theory) comment "In category theory, a branch of mathematics, a section is a right inverse of some morphism.".
- Section_(category_theory) label "Section (category theory)".
- Section_(category_theory) sameAs m.02qkp82.
- Section_(category_theory) sameAs Q17103180.
- Section_(category_theory) sameAs Q17103180.
- Section_(category_theory) wasDerivedFrom Section_(category_theory)?oldid=656113566.
- Section_(category_theory) depiction Section_retract.svg.
- Section_(category_theory) isPrimaryTopicOf Section_(category_theory).
