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- Completion_(algebra) abstract "In abstract algebra, a completion is any of several related functors on rings and modules that result in complete topological rings and modules. Completion is similar to localization, and together they are among the most basic tools in analysing commutative rings. Complete commutative rings have simpler structure than the general ones and Hensel's lemma applies to them. Geometrically, a completion of a commutative ring R concentrates on a formal neighborhood of a point or a Zariski closed subvariety of its spectrum Spec R.".
- Completion_(algebra) wikiPageID "9477975".
- Completion_(algebra) wikiPageLength "6066".
- Completion_(algebra) wikiPageOutDegree "54".
- Completion_(algebra) wikiPageRevisionID "674577295".
- Completion_(algebra) wikiPageWikiLink Abelian_group.
- Completion_(algebra) wikiPageWikiLink Abstract_algebra.
- Completion_(algebra) wikiPageWikiLink Algebraic_variety.
- Completion_(algebra) wikiPageWikiLink Base_(topology).
- Completion_(algebra) wikiPageWikiLink Basis_of_open_neighbourhoods.
- Completion_(algebra) wikiPageWikiLink Category:Commutative_algebra.
- Completion_(algebra) wikiPageWikiLink Category:Topological_algebra.
- Completion_(algebra) wikiPageWikiLink Cohen_structure_theorem.
- Completion_(algebra) wikiPageWikiLink Commutative_algebra.
- Completion_(algebra) wikiPageWikiLink Commutative_ring.
- Completion_(algebra) wikiPageWikiLink Complete_metric_space.
- Completion_(algebra) wikiPageWikiLink David_Eisenbud.
- Completion_(algebra) wikiPageWikiLink Exact_functor.
- Completion_(algebra) wikiPageWikiLink Exact_sequence.
- Completion_(algebra) wikiPageWikiLink Factor_ring.
- Completion_(algebra) wikiPageWikiLink Filtered_algebra.
- Completion_(algebra) wikiPageWikiLink Filtration_(mathematics).
- Completion_(algebra) wikiPageWikiLink Flat_module.
- Completion_(algebra) wikiPageWikiLink Formal_power_series.
- Completion_(algebra) wikiPageWikiLink Formal_scheme.
- Completion_(algebra) wikiPageWikiLink Functor.
- Completion_(algebra) wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Completion_(algebra) wikiPageWikiLink Hensels_lemma.
- Completion_(algebra) wikiPageWikiLink Ideal_(ring_theory).
- Completion_(algebra) wikiPageWikiLink Integral_domain.
- Completion_(algebra) wikiPageWikiLink Inverse_limit.
- Completion_(algebra) wikiPageWikiLink Krull_intersection_theorem.
- Completion_(algebra) wikiPageWikiLink Krull_topology.
- Completion_(algebra) wikiPageWikiLink Local_ring.
- Completion_(algebra) wikiPageWikiLink Localization_of_a_ring.
- Completion_(algebra) wikiPageWikiLink Maximal_ideal.
- Completion_(algebra) wikiPageWikiLink Module_(mathematics).
- Completion_(algebra) wikiPageWikiLink Noetherian_ring.
- Completion_(algebra) wikiPageWikiLink Noncommutative_ring.
- Completion_(algebra) wikiPageWikiLink P-adic_integers.
- Completion_(algebra) wikiPageWikiLink P-adic_number.
- Completion_(algebra) wikiPageWikiLink Polynomial_ring.
- Completion_(algebra) wikiPageWikiLink Profinite_group.
- Completion_(algebra) wikiPageWikiLink Profinite_integer.
- Completion_(algebra) wikiPageWikiLink Quotient_ring.
- Completion_(algebra) wikiPageWikiLink Residue_field.
- Completion_(algebra) wikiPageWikiLink Ring_(mathematics).
- Completion_(algebra) wikiPageWikiLink Short_exact_sequence.
- Completion_(algebra) wikiPageWikiLink Spectrum_of_a_ring.
- Completion_(algebra) wikiPageWikiLink Topological_module.
- Completion_(algebra) wikiPageWikiLink Topological_ring.
- Completion_(algebra) wikiPageWikiLink Vector_space.
- Completion_(algebra) wikiPageWikiLink Wolfgang_Krull.
- Completion_(algebra) wikiPageWikiLink Zariski_ring.
- Completion_(algebra) wikiPageWikiLink Zariski_topology.
- Completion_(algebra) wikiPageWikiLink sub%3E.
- Completion_(algebra) wikiPageWikiLinkText "Completion (algebra)".
- Completion_(algebra) hasPhotoCollection Completion_(algebra).
- Completion_(algebra) wikiPageUsesTemplate Template:MR.
- Completion_(algebra) subject Category:Commutative_algebra.
- Completion_(algebra) subject Category:Topological_algebra.
- Completion_(algebra) comment "In abstract algebra, a completion is any of several related functors on rings and modules that result in complete topological rings and modules. Completion is similar to localization, and together they are among the most basic tools in analysing commutative rings. Complete commutative rings have simpler structure than the general ones and Hensel's lemma applies to them.".
- Completion_(algebra) label "Completion (algebra)".
- Completion_(algebra) sameAs Vervollständigung_(Kommutative_Algebra).
- Completion_(algebra) sameAs Completamento_di_un_anello.
- Completion_(algebra) sameAs 完備化_(環論).
- Completion_(algebra) sameAs 완비화_(환론).
- Completion_(algebra) sameAs m.028bg3c.
- Completion_(algebra) sameAs Q3685258.
- Completion_(algebra) sameAs Q3685258.
- Completion_(algebra) sameAs 完備化_(環論).
- Completion_(algebra) wasDerivedFrom Completion_(algebra)?oldid=674577295.
- Completion_(algebra) isPrimaryTopicOf Completion_(algebra).