Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Galois_connection> ?p ?o }
- Galois_connection abstract "In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets). The same notion can also be defined on preordered sets or classes; this article presents the common case of posets. Galois connections generalize the correspondence between subgroups and subfields investigated in Galois theory (named after the French mathematician Évariste Galois). They find applications in various mathematical theories.A Galois connection is rather weak compared to an order isomorphism between the involved posets, but every Galois connection gives rise to an isomorphism of certain sub-posets, as will be explained below.The literature contains two closely related notions of "Galois connection". In this article, we will distinguish between the two by referring to the first as (monotone) Galois connection and to the second as antitone Galois connection.The term Galois correspondence is sometimes used to mean bijective Galois connection; this is simply an order isomorphism (or dual order isomorphism, dependently on whether we take monotone or antitone Galois connections).".
- Galois_connection wikiPageExternalLink gal_bw.ps.gz.
- Galois_connection wikiPageExternalLink primer.ps.
- Galois_connection wikiPageID "156411".
- Galois_connection wikiPageLength "30059".
- Galois_connection wikiPageOutDegree "97".
- Galois_connection wikiPageRevisionID "675310367".
- Galois_connection wikiPageWikiLink 2-transitive_group.
- Galois_connection wikiPageWikiLink Abstract_interpretation.
- Galois_connection wikiPageWikiLink Adjoint_functor.
- Galois_connection wikiPageWikiLink Adjoint_functor_theorem_(order_theory).
- Galois_connection wikiPageWikiLink Adjoint_functors.
- Galois_connection wikiPageWikiLink Algebraic_geometry.
- Galois_connection wikiPageWikiLink Algebraically_closed_field.
- Galois_connection wikiPageWikiLink Bijection.
- Galois_connection wikiPageWikiLink Bijective.
- Galois_connection wikiPageWikiLink Binary_relation.
- Galois_connection wikiPageWikiLink Boolean_algebra_(structure).
- Galois_connection wikiPageWikiLink Category:Abstract_interpretation.
- Galois_connection wikiPageWikiLink Category:Closure_operators.
- Galois_connection wikiPageWikiLink Category:Galois_theory.
- Galois_connection wikiPageWikiLink Category:Order_theory.
- Galois_connection wikiPageWikiLink Category_theory.
- Galois_connection wikiPageWikiLink Closure_(topology).
- Galois_connection wikiPageWikiLink Closure_operator.
- Galois_connection wikiPageWikiLink Commutative_ring.
- Galois_connection wikiPageWikiLink Complete_Heyting_algebra.
- Galois_connection wikiPageWikiLink Complete_lattice.
- Galois_connection wikiPageWikiLink Completeness_(order_theory).
- Galois_connection wikiPageWikiLink Connected_space.
- Galois_connection wikiPageWikiLink Correspondence_theorem_(group_theory).
- Galois_connection wikiPageWikiLink Domain_of_a_function.
- Galois_connection wikiPageWikiLink Domain_theory.
- Galois_connection wikiPageWikiLink Dual_(category_theory).
- Galois_connection wikiPageWikiLink Dual_space.
- Galois_connection wikiPageWikiLink Duality_(category_theory).
- Galois_connection wikiPageWikiLink Duality_(order_theory).
- Galois_connection wikiPageWikiLink Field_(mathematics).
- Galois_connection wikiPageWikiLink Field_extension.
- Galois_connection wikiPageWikiLink Frames_and_locales.
- Galois_connection wikiPageWikiLink Function_(mathematics).
- Galois_connection wikiPageWikiLink Function_domain.
- Galois_connection wikiPageWikiLink Galois_theory.
- Galois_connection wikiPageWikiLink Glossary_of_algebraic_geometry.
- Galois_connection wikiPageWikiLink Group_(mathematics).
- Galois_connection wikiPageWikiLink Group_action.
- Galois_connection wikiPageWikiLink Heyting_algebra.
- Galois_connection wikiPageWikiLink Idempotence.
- Galois_connection wikiPageWikiLink Idempotent.
- Galois_connection wikiPageWikiLink If_and_only_if.
- Galois_connection wikiPageWikiLink Infimum.
- Galois_connection wikiPageWikiLink Infimum_and_supremum.
- Galois_connection wikiPageWikiLink Inner_product_space.
- Galois_connection wikiPageWikiLink Inverse_function.
- Galois_connection wikiPageWikiLink Lattice_(order).
- Galois_connection wikiPageWikiLink Lattice_theorem.
- Galois_connection wikiPageWikiLink Limit-preserving_function_(order_theory).
- Galois_connection wikiPageWikiLink Limit_preserving_(order_theory).
- Galois_connection wikiPageWikiLink Linear_subspace.
- Galois_connection wikiPageWikiLink Mathematics.
- Galois_connection wikiPageWikiLink Monotone_function.
- Galois_connection wikiPageWikiLink Monotonic_function.
- Galois_connection wikiPageWikiLink Natural_number.
- Galois_connection wikiPageWikiLink Order_isomorphism.
- Galois_connection wikiPageWikiLink Order_theory.
- Galois_connection wikiPageWikiLink Orthogonal_complement.
- Galois_connection wikiPageWikiLink Partially_ordered_set.
- Galois_connection wikiPageWikiLink Path-connected.
- Galois_connection wikiPageWikiLink Polynomial.
- Galois_connection wikiPageWikiLink Polynomial_ring.
- Galois_connection wikiPageWikiLink Power_set.
- Galois_connection wikiPageWikiLink Preorder.
- Galois_connection wikiPageWikiLink Preordered_class.
- Galois_connection wikiPageWikiLink Preordered_set.
- Galois_connection wikiPageWikiLink Programming_language.
- Galois_connection wikiPageWikiLink Quotient_group.
- Galois_connection wikiPageWikiLink Radical_of_an_ideal.
- Galois_connection wikiPageWikiLink Residuated_mapping.
- Galois_connection wikiPageWikiLink Ring_(mathematics).
- Galois_connection wikiPageWikiLink Semi-locally_simply_connected.
- Galois_connection wikiPageWikiLink Set_(mathematics).
- Galois_connection wikiPageWikiLink Spectrum_of_a_ring.
- Galois_connection wikiPageWikiLink Subgroup.
- Galois_connection wikiPageWikiLink Sublocale.
- Galois_connection wikiPageWikiLink Subring.
- Galois_connection wikiPageWikiLink Subscheme.
- Galois_connection wikiPageWikiLink Supremum.
- Galois_connection wikiPageWikiLink Topological_space.
- Galois_connection wikiPageWikiLink Vector_space.
- Galois_connection wikiPageWikiLink William_Lawvere.
- Galois_connection wikiPageWikiLink Zariski_topology.
- Galois_connection wikiPageWikiLink Évariste_Galois.
- Galois_connection wikiPageWikiLinkText "Galois connected".
- Galois_connection wikiPageWikiLinkText "Galois connection".
- Galois_connection wikiPageWikiLinkText "Galois connection#Definitions".
- Galois_connection wikiPageWikiLinkText "Galois correspondence".
- Galois_connection wikiPageWikiLinkText "adjoint pair".
- Galois_connection wikiPageWikiLinkText "example".
- Galois_connection wikiPageWikiLinkText "monotone Galois connection".
- Galois_connection hasPhotoCollection Galois_connection.