About: Derived functor

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia-live.demo.openlinksw.com

Homological construction in category theory

Property	Value
dbo:description	homological construction in category theory (en)
dbo:thumbnail	wiki-commons:Special:FilePath/two_long_exact_sequences.png?width=300
dbo:wikiPageWikiLink	dbr:Chain_complex dbr:Model_category dbr:Monomorphism dbr:Sheaf_(mathematics) dbr:Tor_functor dbr:Fine_sheaf dbr:Abelian_category dbc:Functors dbc:Homological_algebra dbr:Ring_(mathematics) dbr:Snake_lemma dbr:Hochschild_homology dbr:Injective_object dbr:Tensor_product dbr:Canonical_form dbr:Scheme_(mathematics) dbr:Mathematics dbr:Group_cohomology dbr:Group_homology dbr:Sheaf_cohomology dbr:Locally_constant_function dbr:Commutative_diagram dbr:Short_exact_sequence dbr:Cohomology dbr:Bimodule dbr:Topological_space dbr:Splitting_lemma dbr:Lie_algebra_cohomology dbr:Module_(mathematics) dbr:Manifold dbr:Associative_algebra dbr:Lie_algebra dbr:Ext_functor dbr:Functor dbr:Simplicial_set dbr:Functor_category dbr:Universal_enveloping_algebra dbr:Ringed_space dbr:Abelian_group dbr:Natural_transformation dbr:Delta-functor dbr:Projective_module dbr:De_Rham_cohomology dbr:Derived_category dbr:Quillen_adjunction dbr:Springer-Verlag dbr:Étale_cohomology dbr:Étale_topology dbr:Homotopy_category dbr:Derived_tensor_product dbr:Hochschild_cohomology dbr:Left_exact_functor dbr:Lie_algebra_homology dbr:Center_of_a_bimodule dbr:File:Two_long_exact_sequences.png dbr:File:Two_long_exact_sequences2.png dbr:Naturally_isomorphic
dbp:wikiPageUsesTemplate	dbt:No_footnotes dbt:Citation dbt:Refend dbt:Refbegin dbt:Weibel_IHA dbt:Functors dbt:Short_description
dct:subject	dbc:Functors dbc:Homological_algebra
rdfs:label	Derived functor (en) Abgeleiteter Funktor (de) Foncteur dérivé (fr) 導来関手 (ja) 유도 함자 (ko) Похідний функтор (uk) Производный функтор (ru) 導出函子 (zh)
owl:sameAs	freebase:Derived functor wikidata:Derived functor dbpedia-de:Derived functor dbpedia-fr:Derived functor dbpedia-zh:Derived functor dbpedia-ja:Derived functor dbpedia-he:Derived functor dbpedia-ru:Derived functor dbpedia-vi:Derived functor dbpedia-ko:Derived functor dbpedia-uk:Derived functor dbpedia-global:Derived functor dbr:Derived functor
prov:wasDerivedFrom	wikipedia-en:Derived_functor?oldid=1264963987&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Two_long_exact_sequences.png wiki-commons:Special:FilePath/Two_long_exact_sequences2.png wiki-commons:Special:FilePath/two_long_exact_sequences.png wiki-commons:Special:FilePath/two_long_exact_sequences2.png
foaf:isPrimaryTopicOf	wikipedia-en:Derived_functor
is dbo:wikiPageRedirects of	dbr:Left_derived_functor dbr:Derived_functors dbr:Right_derived_functor
is dbo:wikiPageWikiLink of	dbr:Homology_(mathematics) dbr:Resolution_(algebra) dbr:Leray_cover dbr:Six_operations dbr:Künneth_theorem dbr:Sheaf_(mathematics) dbr:Tor_functor dbr:Kan_extension dbr:Fourier–Mukai_transform dbr:Injective_sheaf dbr:Abelian_category dbr:Injective_object dbr:Injective_module dbr:Base_change_theorems dbr:Cotangent_complex dbr:Timeline_of_category_theory_and_related_mathematics dbr:Alexander_Grothendieck dbr:Flat_module dbr:Scheme_(mathematics) dbr:Spectral_sequence dbr:Group_cohomology dbr:Sheaf_cohomology dbr:Flat_topology dbr:D-module dbr:Exact_sequence dbr:Inverse_limit dbr:Cohomology dbr:Bimodule dbr:Glossary_of_tensor_theory dbr:Homological_algebra dbr:Acyclic_object dbr:Exceptional_inverse_image_functor dbr:Cohomology_operation dbr:Eilenberg–Moore_spectral_sequence dbr:Ext_functor dbr:List_of_homological_algebra_topics dbr:List_of_important_publications_in_mathematics dbr:List_of_incomplete_proofs dbr:Hereditary_ring dbr:Direct_image_functor dbr:Local_cohomology dbr:Exact_functor dbr:Commutative_ring dbr:Delta-functor dbr:Leray_spectral_sequence dbr:Group_action dbr:Cyclic_homology dbr:Center_(category_theory) dbr:Grothendieck_category dbr:Grothendieck_spectral_sequence dbr:Lyndon–Hochschild–Serre_spectral_sequence dbr:Triangulated_category dbr:Cauchy–Kowalevski_theorem dbr:Derived_category dbr:Hyperhomology dbr:Coherent_sheaf_cohomology dbr:Decomposition_theorem_of_Beilinson,_Bernstein_and_Deligne dbr:Outline_of_category_theory dbr:Étale_cohomology dbr:Derived_algebraic_geometry dbr:Séminaire_Nicolas_Bourbaki_(1950–1959) dbr:Grothendieck's_Tôhoku_paper dbr:Left_derived_functor dbr:Derived_functors dbr:Right_derived_functor
is foaf:primaryTopic of	wikipedia-en:Derived_functor