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- Grothendieck_group abstract "In mathematics, the Grothendieck group construction in abstract algebra constructs an abelian group from a commutative monoid in the most universal way. It takes its name from the more general construction in category theory, introduced by Alexander Grothendieck in his fundamental work of the mid-1950s that resulted in the development of K-theory, which led to his proof of the Grothendieck-Riemann-Roch theorem. This article treats both constructions.".
- Grothendieck_group wikiPageID "1634790".
- Grothendieck_group wikiPageLength "16663".
- Grothendieck_group wikiPageOutDegree "66".
- Grothendieck_group wikiPageRevisionID "664587590".
- Grothendieck_group wikiPageWikiLink Abelian_category.
- Grothendieck_group wikiPageWikiLink Abelian_group.
- Grothendieck_group wikiPageWikiLink Abstract_algebra.
- Grothendieck_group wikiPageWikiLink Additive_category.
- Grothendieck_group wikiPageWikiLink Adjoint_functors.
- Grothendieck_group wikiPageWikiLink Alexander_Grothendieck.
- Grothendieck_group wikiPageWikiLink Algebraic_closure.
- Grothendieck_group wikiPageWikiLink Artinian_ring.
- Grothendieck_group wikiPageWikiLink Cancellation_property.
- Grothendieck_group wikiPageWikiLink Category:Algebraic_structures.
- Grothendieck_group wikiPageWikiLink Category:Homological_algebra.
- Grothendieck_group wikiPageWikiLink Category:K-theory.
- Grothendieck_group wikiPageWikiLink Category_of_abelian_groups.
- Grothendieck_group wikiPageWikiLink Category_theory.
- Grothendieck_group wikiPageWikiLink Chain_complex.
- Grothendieck_group wikiPageWikiLink Character_theory.
- Grothendieck_group wikiPageWikiLink Coherent_sheaf.
- Grothendieck_group wikiPageWikiLink Commutative_property.
- Grothendieck_group wikiPageWikiLink Dual_(category_theory).
- Grothendieck_group wikiPageWikiLink Equivalence_class.
- Grothendieck_group wikiPageWikiLink Equivalence_relation.
- Grothendieck_group wikiPageWikiLink Euler_characteristic.
- Grothendieck_group wikiPageWikiLink Exact_category.
- Grothendieck_group wikiPageWikiLink Exact_sequence.
- Grothendieck_group wikiPageWikiLink Field_(mathematics).
- Grothendieck_group wikiPageWikiLink Finite_field.
- Grothendieck_group wikiPageWikiLink Finite_group.
- Grothendieck_group wikiPageWikiLink Forgetful_functor.
- Grothendieck_group wikiPageWikiLink Free_abelian_group.
- Grothendieck_group wikiPageWikiLink Functor.
- Grothendieck_group wikiPageWikiLink Grothendieck–Riemann–Roch_theorem.
- Grothendieck_group wikiPageWikiLink Group_ring.
- Grothendieck_group wikiPageWikiLink Integer.
- Grothendieck_group wikiPageWikiLink K-theory.
- Grothendieck_group wikiPageWikiLink Manifold.
- Grothendieck_group wikiPageWikiLink Mathematics.
- Grothendieck_group wikiPageWikiLink Michael_Atiyah.
- Grothendieck_group wikiPageWikiLink Modular_representation_theory.
- Grothendieck_group wikiPageWikiLink Monoid.
- Grothendieck_group wikiPageWikiLink Natural_number.
- Grothendieck_group wikiPageWikiLink Natural_transformation.
- Grothendieck_group wikiPageWikiLink Pramod_Achar,_Catharina_Stroppel.
- Grothendieck_group wikiPageWikiLink Presentation_of_a_group.
- Grothendieck_group wikiPageWikiLink Projective_module.
- Grothendieck_group wikiPageWikiLink Quotient_group.
- Grothendieck_group wikiPageWikiLink Representation_theory.
- Grothendieck_group wikiPageWikiLink Ringed_space.
- Grothendieck_group wikiPageWikiLink Semigroup.
- Grothendieck_group wikiPageWikiLink Serre–Swan_theorem.
- Grothendieck_group wikiPageWikiLink Simple_module.
- Grothendieck_group wikiPageWikiLink Smoothness.
- Grothendieck_group wikiPageWikiLink Spectrum_of_a_ring.
- Grothendieck_group wikiPageWikiLink Topological_K-theory.
- Grothendieck_group wikiPageWikiLink Trace_(linear_algebra).
- Grothendieck_group wikiPageWikiLink Triangulated_category.
- Grothendieck_group wikiPageWikiLink Universal_property.
- Grothendieck_group wikiPageWikiLink Vector_bundle.
- Grothendieck_group wikiPageWikiLink Vector_space.
- Grothendieck_group wikiPageWikiLinkText "Grothendieck Groups".
- Grothendieck_group wikiPageWikiLinkText "Grothendieck construction".
- Grothendieck_group wikiPageWikiLinkText "Grothendieck group".
- Grothendieck_group wikiPageWikiLinkText "Grothendieck ring".
- Grothendieck_group wikiPageWikiLinkText "group completion".
- Grothendieck_group id "4290".
- Grothendieck_group id "p/g045170".
- Grothendieck_group title "Grothendieck group".
- Grothendieck_group wikiPageUsesTemplate Template:Planetmath_reference.
- Grothendieck_group wikiPageUsesTemplate Template:Springer.
- Grothendieck_group subject Category:Algebraic_structures.
- Grothendieck_group subject Category:Homological_algebra.
- Grothendieck_group subject Category:K-theory.
- Grothendieck_group comment "In mathematics, the Grothendieck group construction in abstract algebra constructs an abelian group from a commutative monoid in the most universal way. It takes its name from the more general construction in category theory, introduced by Alexander Grothendieck in his fundamental work of the mid-1950s that resulted in the development of K-theory, which led to his proof of the Grothendieck-Riemann-Roch theorem. This article treats both constructions.".
- Grothendieck_group label "Grothendieck group".
- Grothendieck_group sameAs Q1128678.
- Grothendieck_group sameAs Grothendieck-Gruppe.
- Grothendieck_group sameAs Symétrisation.
- Grothendieck_group sameAs חבורת_גרותנדיק.
- Grothendieck_group sameAs Gruppo_di_Grothendieck.
- Grothendieck_group sameAs グロタンディーク群.
- Grothendieck_group sameAs 그로텐디크_군.
- Grothendieck_group sameAs Grothendieck-groep.
- Grothendieck_group sameAs m.05jdf2.
- Grothendieck_group sameAs Группа_Гротендика.
- Grothendieck_group sameAs Grothendieckgrupp.
- Grothendieck_group sameAs Q1128678.
- Grothendieck_group wasDerivedFrom Grothendieck_group?oldid=664587590.
- Grothendieck_group isPrimaryTopicOf Grothendieck_group.