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Statements

Subject Item
dbr:Local_ring
dbo:wikiPageWikiLink
dbr:Projective_module
Subject Item
dbr:Projective_object
dbo:wikiPageWikiLink
dbr:Projective_module
Subject Item
dbr:Resolution_(algebra)
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dbr:Projective_module
Subject Item
dbr:Essential_extension
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dbr:Projective_module
Subject Item
dbr:List_of_commutative_algebra_topics
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dbr:Projective_module
Subject Item
dbr:Regular_embedding
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dbr:Projective_module
Subject Item
dbr:Ribbon_category
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dbr:Projective_module
Subject Item
dbr:Samuel_Eilenberg
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dbr:Projective_module
dbo:wikiPageWikiLink
dbr:Projective_module
dbp:knownFor
dbr:Projective_module
Subject Item
dbr:Tata_Institute_of_Fundamental_Research
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dbr:Projective_module
Subject Item
dbr:Finitely_generated_module
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dbr:Projective_module
Subject Item
dbr:Grothendieck_group
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dbr:Projective_module
Subject Item
dbr:K-theory
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dbr:Projective_module
Subject Item
dbr:Category_of_abelian_groups
dbo:wikiPageWikiLink
dbr:Projective_module
Subject Item
dbr:Tor_functor
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dbr:Projective_module
Subject Item
dbr:Unique_factorization_domain
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dbr:Projective_module
Subject Item
dbr:Endomorphism_ring
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dbr:Projective_module
Subject Item
dbr:Free_ideal_ring
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dbr:Projective_module
Subject Item
dbr:Prüfer_domain
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dbr:Projective_module
Subject Item
dbr:Von_Neumann_regular_ring
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dbr:Projective_module
Subject Item
dbr:Henri_Cartan
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dbr:Projective_module
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Subject Item
dbr:Karoubi_envelope
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dbr:Projective_module
Subject Item
dbr:Derived_functor
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dbr:Projective_module
Subject Item
dbr:Quiver_(mathematics)
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dbr:Projective_module
Subject Item
dbr:Perfect_ring
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dbr:Projective_module
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dbr:Injective_module
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dbr:Projective_module
Subject Item
dbr:Cotangent_complex
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dbr:Projective_module
Subject Item
dbr:Countably_generated_module
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dbr:Projective_module
Subject Item
dbr:Timeline_of_category_theory_and_related_mathematics
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dbr:Projective_module
Subject Item
dbr:Flat_module
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dbr:Projective_module
Subject Item
dbr:Category_of_sets
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dbr:Projective_module
Subject Item
dbr:Pure_submodule
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dbr:Projective_module
Subject Item
dbr:Duality_(mathematics)
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Subject Item
dbr:Jean-Pierre_Serre
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dbr:Projective_module
Subject Item
dbr:Nakayama's_lemma
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dbr:Projective_module
Subject Item
dbr:Fractional_ideal
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dbr:Projective_module
Subject Item
dbr:Semisimple_module
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dbr:Projective_module
Subject Item
dbr:Algebraic_K-theory
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dbr:Projective_module
Subject Item
dbr:Maximal_ideal
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dbr:Projective_module
Subject Item
dbr:Schanuel's_lemma
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dbr:Projective_module
Subject Item
dbr:Free_module
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dbr:Projective_module
Subject Item
dbr:Invertible_sheaf
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dbr:Projective_module
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dbr:Principal_indecomposable_module
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dbr:Projective_module
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dbr:Projective
dbo:wikiPageDisambiguates
dbr:Projective_module
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dbr:Projective_module
Subject Item
dbr:Projective_line_over_a_ring
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dbr:Projective_module
Subject Item
dbr:Dedekind_domain
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dbr:Projective_module
Subject Item
dbr:Homological_algebra
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dbr:Projective_module
Subject Item
dbr:Exterior_algebra
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dbr:Separable_algebra
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dbr:Projective_module
Subject Item
dbr:Cohomological_dimension
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dbr:Projective_module
Subject Item
dbr:Eilenberg–Mazur_swindle
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dbr:Projective_module
Subject Item
dbr:Lift_(mathematics)
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dbr:Projective_module
Subject Item
dbr:Tilting_theory
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dbr:Projective_module
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dbr:Basic_theorems_in_algebraic_K-theory
dbo:wikiPageWikiLink
dbr:Projective_module
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dbr:Glossary_of_module_theory
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dbr:Module_(mathematics)
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dbr:Projective_module
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dbr:Linear_form
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dbr:Associative_algebra
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dbr:Ring_theory
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dbr:Coherent_sheaf
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dbr:Ext_functor
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dbr:Projective_module
Subject Item
dbr:List_of_homological_algebra_topics
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dbr:Projective_module
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dbr:Nakayama_algebra
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dbr:Projective_module
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dbr:Torsionless_module
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dbr:Projective_module
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dbr:Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain
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dbr:Projective_module
Subject Item
dbr:Hereditary_ring
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dbr:Projective_module
Subject Item
dbr:List_of_lemmas
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dbr:Projective_module
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dbr:Morita_equivalence
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dbr:Projective_module
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dbr:Singular_submodule
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dbr:Projective_module
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dbr:Line_bundle
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dbr:Projective_module
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dbr:Reduced_ring
dbo:wikiPageWikiLink
dbr:Projective_module
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dbr:Wall's_finiteness_obstruction
dbo:wikiPageWikiLink
dbr:Projective_module
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dbr:Exact_functor
dbo:wikiPageWikiLink
dbr:Projective_module
Subject Item
dbr:Free_abelian_group
dbo:wikiPageWikiLink
dbr:Projective_module
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dbr:List_of_abstract_algebra_topics
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dbr:Projective_module
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dbr:Axiom_of_choice
dbo:wikiPageWikiLink
dbr:Projective_module
Subject Item
dbr:Richard_Swan
dbo:wikiPageWikiLink
dbr:Projective_module
Subject Item
dbr:Projective_module
owl:sameAs
dbpedia-ru:Проективный_модуль dbpedia-fr:Module_projectif dbpedia-de:Projektive_Dimension dbpedia-ko:사영_가군 dbpedia-it:Modulo_proiettivo freebase:m.01_ty9 dbpedia-fa:مدول_تصویری dbpedia-ja:射影加群 dbpedia-global:56DmP dbpedia-es:Módulo_proyectivo dbpedia-zh:投射模 wikidata:Q942423 dbpedia-uk:Проєктивний_модуль dbpedia-he:מודול_פרויקטיבי
rdfs:label
Modulo proiettivo 사영 가군 Module projectif Проективный модуль Проєктивний модуль Projective module Módulo proyectivo Projektive Dimension 投射模 射影加群
foaf:depiction
n29:Module_properties_in_commutative_algebra.svg n29:Projective-module-P.svg
prov:wasDerivedFrom
wikipedia-en:Projective_module?oldid=1295831802&ns=0
dbo:description
je algebro, modulo super ringo, kies rekta sumo kun iu alia modulo estas libera modulo un module 𝑃 sur un anneau 𝐴 tel que pour tout morphisme surjectif 𝑓 : 𝑁 → 𝑀 entre deux 𝐴‐modules et pour tout morphisme 𝑔 : 𝑃 → 𝑀, il existe un morphisme ℎ : 𝑃 → 𝑁 tel que 𝑔 = 𝑓ℎ in algebra, a module that is the direct summand of a free module 表現可能関手Hom(𝑃, –)が完全となるような加群𝑃 sumando directo de un módulo libre
dbo:thumbnail
n29:Projective-module-P.svg?width=300
dbo:wikiPageExternalLink
n12:Kbook.html n19:etalecohomology00miln n19:springer_10.1007-978-1-4612-0923-2
dbo:wikiPageWikiLink
dbr:Boolean_ring dbr:Quotient_module dbr:Module_categories dbr:Ring_(mathematics) dbr:Torsion-free_module dbr:Countable_set dbr:Bass_cancellation_theorem dbr:Projection_(linear_algebra) dbr:Free_abelian_group dbr:Koszul_complex dbr:Mathematical_proof dbr:Prime_ideal dbr:Split_exact_sequence dbr:Principal_ideal_domain dbr:Integer dbr:Mathematics dbr:Nakayama's_lemma dbr:Abelian_group dbr:Dimension_(vector_space) dbr:Principal_ideal dbr:Continuous_function_(topology) n11:Projective-module-P.svg dbr:Deep_result dbr:Hereditary_ring dbr:Matrix_ring dbr:Idempotent_(ring_theory) dbr:Projective_object dbr:Finitely_presented_module dbr:Direct_summand dbr:Regular_sequence dbr:Exact_sequence dbr:Direct_limit dbr:Zero_module dbr:Ideal_(ring_theory) dbr:Subring dbr:Free_module dbc:Module_theory dbr:Dedekind_domain dbr:Hausdorff_space dbr:If_and_only_if dbr:Basis_vector dbr:Nicolas_Bourbaki dbr:Direct_product_of_rings dbr:Exact_functor dbr:Category_theory dbr:Manifold dbr:Flat_module dbr:Commutative_ring dbr:Serre–Swan_theorem dbr:Noetherian_ring dbr:Converse_(logic) dbr:Algebraic_K-theory dbr:Injective_module dbr:Compact_space dbr:Finitely_generated_module dbr:Faithfully_flat_descent dbr:Vector_space dbr:Projective_cover dbr:Samuel_Eilenberg dbr:Skew_field dbr:Surjective dbr:Zero_ideal dbr:Paulo_Ribenboim dbr:Counterexample dbr:Zero_ring dbr:Algebra dbr:Quillen–Suslin_theorem dbr:Isomorphism dbr:Kaplansky's_theorem_on_projective_modules dbr:Semisimple_ring dbr:Maximal_ideal dbr:Vector_bundle dbr:Modular_representation_theory dbr:Spectrum_of_a_ring dbr:Epimorphism dbr:Functor dbr:Resolution_(algebra) dbr:Group_(mathematics) dbr:Dual_(category_theory) dbr:Short_exact_sequence dbr:Real_number dbr:Domain_(ring_theory) dbr:Category_of_abelian_groups dbr:Lifting_property dbr:Polynomial_ring dbr:Schanuel's_lemma dbr:Integral_domain dbr:Category_of_modules n11:Module_properties_in_commutative_algebra.svg dbr:Field_(mathematics) dbr:Finitely_related_module dbr:Interscience_Publishers dbr:Universal_property dbr:Class_(set_theory) dbr:Direct_sum_of_modules dbr:Sheaf_associated_to_a_module dbr:Module_(mathematics) dbr:Colimit dbr:Local_ring dbr:Dedekind_ring dbr:Algebra_over_a_ring dbr:Left_exact_functor dbr:Localization_(commutative_algebra) dbr:Exact_category dbr:Module_homomorphism dbr:Localization_of_a_ring dbr:Faithfully_flat_morphism dbr:Category_(mathematics) dbr:Unit_ideal dbr:Submodule dbc:Homological_algebra dbr:Mathematical_induction dbr:Addison–Wesley dbr:Charles_Weibel dbr:Springer_Science dbr:Henri_Cartan
dct:subject
dbc:Module_theory dbc:Homological_algebra
foaf:isPrimaryTopicOf
wikipedia-en:Projective_module
dbp:wikiPageUsesTemplate
dbt:Mvar dbt:Cite_journal dbt:Wikibooks dbt:Authority_control dbt:More_citations_needed_section dbt:Cite_book dbt:Reflist dbt:Math dbt:Short_description dbt:Main dbt:Isbn dbt:Harvtxt
gold:hypernym
dbr:Generalisation
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wikipedia-en:Projective_module
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dbr:Donald_G._Higman
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dbr:Projective_module
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dbr:Hilbert's_syzygy_theorem
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dbr:Projective_module
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dbr:Tsit_Yuen_Lam
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dbr:Projective_module
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dbr:Chevalley–Shephard–Todd_theorem
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dbr:Projective_module
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dbr:Hom_functor
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dbr:Projective_module
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dbr:Triangulated_category
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dbr:Projective_module
Subject Item
dbr:Modular_representation_theory
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dbr:Projective_module
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dbr:Baer_ring
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dbr:Projective_module
Subject Item
dbr:Depth_of_noncommutative_subrings
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dbr:Projective_module
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dbr:Krull–Schmidt_category
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dbr:Refinement_monoid
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dbr:Projective_module
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dbr:Stable_module_category
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dbr:Projective_module
Subject Item
dbr:Artin_conductor
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dbr:Projective_module
Subject Item
dbr:Galois_module
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dbr:Projective_module
Subject Item
dbr:Dual_object
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dbr:Projective_module
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dbr:Dualizing_module
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dbr:Projective_module
Subject Item
dbr:Projection
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dbr:Projective_module
Subject Item
dbr:Quasi-Frobenius_ring
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dbr:Projective_module
Subject Item
dbr:Quillen–Suslin_theorem
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dbr:Projective_module
Subject Item
dbr:Bass–Quillen_conjecture
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dbr:Projective_module
Subject Item
dbr:Serre–Swan_theorem
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dbr:Projective_module
Subject Item
dbr:Outline_of_algebraic_structures
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dbr:Projective_module
Subject Item
dbr:Lifting_property
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dbr:Projective_module
Subject Item
dbr:Automorphism_group
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dbr:Projective_module
Subject Item
dbr:Semi-abelian_category
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dbr:Projective_module
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dbr:Finiteness_properties_of_groups
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dbr:Projective_module
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dbr:Glossary_of_commutative_algebra
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dbr:Projective_module
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dbr:K-theory_of_a_category
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dbr:Projective_module
Subject Item
dbr:Kaplansky's_theorem_on_projective_modules
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dbr:Projective_module
Subject Item
dbr:Compact_object_(mathematics)
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dbr:Projective_module
Subject Item
dbr:Finitely_generated_projective_module
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dbr:Projective_module
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dbr:Projective_module
Subject Item
dbr:Locally_free_module
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dbr:Projective_module
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dbr:Projective_module
Subject Item
dbr:Projective_dimension
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dbr:Projective_module
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dbr:Projective_module
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dbr:Projective_modules
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dbr:Projective_module