Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Abelian_category> ?p ?o }
- Abelian_category abstract "In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable properties. The motivating prototype example of an abelian category is the category of abelian groups, Ab. The theory originated in an effort to unify several cohomology theories by Alexander Grothendieck and independently in the slightly earlier work of David Buchsbaum. Abelian categories are very stable categories, for example they are regular and they satisfy the snake lemma. The class of Abelian categories is closed under several categorical constructions, for example, the category of chain complexes of an Abelian category, or the category of functors from a small category to an Abelian category are Abelian as well. These stability properties make them inevitable in homological algebra and beyond; the theory has major applications in algebraic geometry, cohomology and pure category theory. Abelian categories are named for Niels Henrik Abel.".
- Abelian_category wikiPageExternalLink 1178244839.
- Abelian_category wikiPageExternalLink tr3abs.html.
- Abelian_category wikiPageID "45063".
- Abelian_category wikiPageLength "14773".
- Abelian_category wikiPageOutDegree "125".
- Abelian_category wikiPageRevisionID "700748804".
- Abelian_category wikiPageWikiLink 0_(number).
- Abelian_category wikiPageWikiLink Abelian_group.
- Abelian_category wikiPageWikiLink Academic_Press.
- Abelian_category wikiPageWikiLink Additive_category.
- Abelian_category wikiPageWikiLink Adjoint_functors.
- Abelian_category wikiPageWikiLink Alexander_Grothendieck.
- Abelian_category wikiPageWikiLink Algebraic_geometry.
- Abelian_category wikiPageWikiLink Algebraic_topology.
- Abelian_category wikiPageWikiLink Axiom.
- Abelian_category wikiPageWikiLink Bilinear_map.
- Abelian_category wikiPageWikiLink Biproduct.
- Abelian_category wikiPageWikiLink Category:Additive_categories.
- Abelian_category wikiPageWikiLink Category:Homological_algebra.
- Abelian_category wikiPageWikiLink Category:Niels_Henrik_Abel.
- Abelian_category wikiPageWikiLink Category_(mathematics).
- Abelian_category wikiPageWikiLink Category_of_abelian_groups.
- Abelian_category wikiPageWikiLink Category_theory.
- Abelian_category wikiPageWikiLink Chain_complex.
- Abelian_category wikiPageWikiLink Cohomology.
- Abelian_category wikiPageWikiLink Coimage.
- Abelian_category wikiPageWikiLink Cokernel.
- Abelian_category wikiPageWikiLink Commutative_algebra.
- Abelian_category wikiPageWikiLink Commutative_ring.
- Abelian_category wikiPageWikiLink Comodule.
- Abelian_category wikiPageWikiLink Complete_category.
- Abelian_category wikiPageWikiLink Coproduct.
- Abelian_category wikiPageWikiLink David_Buchsbaum.
- Abelian_category wikiPageWikiLink Derived_functor.
- Abelian_category wikiPageWikiLink Dimension_(vector_space).
- Abelian_category wikiPageWikiLink Direct_product.
- Abelian_category wikiPageWikiLink Direct_sum_of_modules.
- Abelian_category wikiPageWikiLink Enriched_category.
- Abelian_category wikiPageWikiLink Enriched_limit.
- Abelian_category wikiPageWikiLink Epimorphism.
- Abelian_category wikiPageWikiLink Exact_category.
- Abelian_category wikiPageWikiLink Exact_functor.
- Abelian_category wikiPageWikiLink Exact_sequence.
- Abelian_category wikiPageWikiLink Field_(mathematics).
- Abelian_category wikiPageWikiLink Filtered_category.
- Abelian_category wikiPageWikiLink Finitary.
- Abelian_category wikiPageWikiLink Finite_set.
- Abelian_category wikiPageWikiLink Finitely_generated_abelian_group.
- Abelian_category wikiPageWikiLink Finitely_generated_module.
- Abelian_category wikiPageWikiLink Five_lemma.
- Abelian_category wikiPageWikiLink Functor.
- Abelian_category wikiPageWikiLink Functor_category.
- Abelian_category wikiPageWikiLink Grothendieck_topology.
- Abelian_category wikiPageWikiLink Grothendiecks_Txc3xb4hoku_paper.
- Abelian_category wikiPageWikiLink Group_(mathematics).
- Abelian_category wikiPageWikiLink Homological_algebra.
- Abelian_category wikiPageWikiLink Image_(category_theory).
- Abelian_category wikiPageWikiLink Initial_and_terminal_objects.
- Abelian_category wikiPageWikiLink Kernel_(category_theory).
- Abelian_category wikiPageWikiLink Lattice_(order).
- Abelian_category wikiPageWikiLink Localizing_subcategory.
- Abelian_category wikiPageWikiLink Mathematics.
- Abelian_category wikiPageWikiLink Mitchells_embedding_theorem.
- Abelian_category wikiPageWikiLink Module_(mathematics).
- Abelian_category wikiPageWikiLink Monoidal_category.
- Abelian_category wikiPageWikiLink Monomorphism.
- Abelian_category wikiPageWikiLink Morphism.
- Abelian_category wikiPageWikiLink Niels_Henrik_Abel.
- Abelian_category wikiPageWikiLink Nine_lemma.
- Abelian_category wikiPageWikiLink Noetherian_ring.
- Abelian_category wikiPageWikiLink Normal_morphism.
- Abelian_category wikiPageWikiLink Partially_ordered_set.
- Abelian_category wikiPageWikiLink Pathological_(mathematics).
- Abelian_category wikiPageWikiLink Pre-abelian_category.
- Abelian_category wikiPageWikiLink Preadditive_category.
- Abelian_category wikiPageWikiLink Product_(category_theory).
- Abelian_category wikiPageWikiLink Regular_category.
- Abelian_category wikiPageWikiLink Ring_(mathematics).
- Abelian_category wikiPageWikiLink Sheaf_(mathematics).
- Abelian_category wikiPageWikiLink Short_five_lemma.
- Abelian_category wikiPageWikiLink Snake_lemma.
- Abelian_category wikiPageWikiLink Subcategory.
- Abelian_category wikiPageWikiLink Subobject.
- Abelian_category wikiPageWikiLink Subquotient.
- Abelian_category wikiPageWikiLink Tensor_product.
- Abelian_category wikiPageWikiLink Topological_space.
- Abelian_category wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Abelian_category wikiPageWikiLink Vector_bundle.
- Abelian_category wikiPageWikiLink Vector_space.
- Abelian_category wikiPageWikiLink Zero_morphism.
- Abelian_category wikiPageWikiLinkText "(AB4*)".
- Abelian_category wikiPageWikiLinkText "Abelian Categories".
- Abelian_category wikiPageWikiLinkText "Abelian categories".
- Abelian_category wikiPageWikiLinkText "Abelian category".
- Abelian_category wikiPageWikiLinkText "Abelian_category".
- Abelian_category wikiPageWikiLinkText "Grothendieck's axiom AB5".
- Abelian_category wikiPageWikiLinkText "abelian categories".
- Abelian_category wikiPageWikiLinkText "abelian category".
- Abelian_category wikiPageWikiLinkText "abelian theories".