| http://dbpedia.org/ontology/abstract
|
Module theory is the branch of mathematics in which modules are studied. This is a glossary of some terms of the subject. See also: Glossary of linear algebra, Glossary of ring theory, Glossary of representation theory.
|
| http://dbpedia.org/ontology/thumbnail
|
http://commons.wikimedia.org/wiki/Special:FilePath/Injective_module.svg?width=300 +
|
| http://dbpedia.org/ontology/wikiPageExternalLink
|
https://archive.org/details/introductorylect0000beac +
, https://archive.org/details/modulesstructure0000gola +
|
| http://dbpedia.org/ontology/wikiPageID
|
25334192
|
| http://dbpedia.org/ontology/wikiPageLength
|
20133
|
| http://dbpedia.org/ontology/wikiPageRevisionID
|
1097595558
|
| http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Nilpotent_endomorphism +
, http://dbpedia.org/resource/Fitting%27s_lemma +
, http://dbpedia.org/resource/Abelian_group +
, http://dbpedia.org/resource/Pure_injective_module +
, http://dbpedia.org/resource/Semisimple_module +
, http://dbpedia.org/resource/Linear_topology +
, http://dbpedia.org/resource/Length_of_a_module +
, http://dbpedia.org/resource/Fitting_ideal +
, http://dbpedia.org/resource/Continuous_module +
, http://dbpedia.org/resource/Canonical_divisor +
, http://dbpedia.org/resource/Projective_cover +
, http://dbpedia.org/resource/K%C3%A4hler_differentials +
, http://dbpedia.org/resource/Principal_indecomposable_module +
, http://dbpedia.org/resource/Drinfeld_module +
, http://dbpedia.org/resource/Artinian_module +
, http://dbpedia.org/resource/Decomposition_of_a_module +
, http://dbpedia.org/resource/Automorphism +
, http://dbpedia.org/resource/Stably_free_module +
, http://dbpedia.org/resource/Injective_cogenerator +
, http://dbpedia.org/resource/Enough_injectives +
, http://dbpedia.org/resource/Tensor_product_of_modules +
, http://dbpedia.org/resource/Global_dimension +
, http://dbpedia.org/resource/Pure_submodule +
, http://dbpedia.org/resource/Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain +
, http://dbpedia.org/resource/Injective +
, http://dbpedia.org/resource/Finitely_generated_module +
, http://dbpedia.org/resource/Glossary_of_ring_theory +
, http://dbpedia.org/resource/Countably_generated_module +
, http://dbpedia.org/resource/Hom_functor +
, http://dbpedia.org/resource/Ext_functor +
, http://dbpedia.org/resource/Mittag-Leffler_condition +
, http://dbpedia.org/resource/Weak_dimension +
, http://dbpedia.org/resource/Matlis_module +
, http://dbpedia.org/resource/Module_spectrum +
, http://dbpedia.org/resource/Herbrand_quotient +
, http://dbpedia.org/resource/Localization_of_a_module +
, http://dbpedia.org/resource/Frobenius_reciprocity +
, http://dbpedia.org/resource/Reflexive_module +
, http://dbpedia.org/resource/Mitchell%27s_embedding_theorem +
, http://dbpedia.org/resource/Invertible_module +
, http://dbpedia.org/resource/Noetherian_module +
, http://dbpedia.org/resource/Essential_submodule +
, http://dbpedia.org/resource/Endomorphism +
, http://dbpedia.org/resource/Eilenberg%E2%80%93Mazur_swindle +
, http://dbpedia.org/resource/Homological_dimension +
, http://dbpedia.org/resource/Hilbert%E2%80%93Serre_theorem +
, http://dbpedia.org/resource/Injective_module +
, http://dbpedia.org/resource/Projective_module +
, http://dbpedia.org/resource/Annihilator_%28ring_theory%29 +
, http://dbpedia.org/resource/Exact_functor +
, http://dbpedia.org/resource/Cohen%E2%80%93Macaulay_module +
, http://dbpedia.org/resource/Module_homomorphism +
, http://dbpedia.org/resource/Projective_dimension +
, http://dbpedia.org/resource/Zero_module +
, http://dbpedia.org/resource/Injective_envelope +
, http://dbpedia.org/resource/Radical_of_a_module +
, http://dbpedia.org/resource/Glossary_of_representation_theory +
, http://dbpedia.org/resource/Spectrum_%28topology%29 +
, http://dbpedia.org/resource/Localization_of_a_ring +
, http://dbpedia.org/resource/Finitely_presented_module +
, http://dbpedia.org/resource/Rational_canonical_form +
, http://dbpedia.org/resource/Coherent_module +
, http://dbpedia.org/resource/Springer-Verlag +
, http://dbpedia.org/resource/Composition_series +
, http://dbpedia.org/resource/D-module +
, http://dbpedia.org/resource/Extension_of_scalars +
, http://dbpedia.org/resource/Resolution_%28algebra%29 +
, http://dbpedia.org/resource/Free_module +
, http://dbpedia.org/resource/Category_of_modules +
, http://dbpedia.org/resource/Torsionless_module +
, http://dbpedia.org/resource/Direct_sum_of_modules +
, http://dbpedia.org/resource/Cyclic_module +
, http://dbpedia.org/resource/Hilbert%E2%80%93Poincar%C3%A9_series +
, http://dbpedia.org/resource/Quotient_group +
, http://dbpedia.org/resource/Dimension_of_a_vector_space +
, http://dbpedia.org/resource/Quotient_module +
, http://dbpedia.org/resource/Snake_lemma +
, http://dbpedia.org/resource/Topological_module +
, http://dbpedia.org/resource/Flat_module +
, http://dbpedia.org/resource/Finite_module +
, http://dbpedia.org/resource/Canonical_module +
, http://dbpedia.org/resource/Differential_graded_module +
, http://dbpedia.org/resource/Perfect_module +
, http://dbpedia.org/resource/Idempotent_endomorphism +
, http://dbpedia.org/resource/Balanced_module +
, http://dbpedia.org/resource/Schanuel%27s_lemma +
, http://dbpedia.org/resource/Cokernel +
, http://dbpedia.org/resource/Socle_%28mathematics%29 +
, http://dbpedia.org/resource/Associated_prime +
, http://dbpedia.org/resource/Hilbert%27s_syzygy_theorem +
, http://dbpedia.org/resource/Exact_sequence +
, http://dbpedia.org/resource/Simple_module +
, http://dbpedia.org/resource/Index_of_an_endomorphism +
, http://dbpedia.org/resource/Galois_module +
, http://dbpedia.org/resource/Module_%28mathematics%29 +
, http://dbpedia.org/resource/File:Injective_module.svg +
, http://dbpedia.org/resource/Five_lemma +
, http://dbpedia.org/resource/File:Projective_module.png +
, http://dbpedia.org/resource/Compact_module +
, http://dbpedia.org/resource/Determinant_of_a_module +
, http://dbpedia.org/resource/Finite_free_presentation +
, http://dbpedia.org/resource/Primary_submodule +
, http://dbpedia.org/resource/Completion_%28ring_theory%29 +
, http://dbpedia.org/resource/Perfect_complex +
, http://dbpedia.org/resource/Right_module +
, http://dbpedia.org/resource/Algebraically_compact_module +
, http://dbpedia.org/resource/Graded_module +
, http://dbpedia.org/resource/Chain_complex +
, http://dbpedia.org/resource/Koszul_complex +
, http://dbpedia.org/resource/Glossary_of_linear_algebra +
, http://dbpedia.org/resource/Uniform_module +
, http://dbpedia.org/resource/Generating_set_of_a_module +
, http://dbpedia.org/resource/Kaplansky%27s_theorem_on_a_projective_module +
, http://dbpedia.org/resource/Schur%27s_lemma +
, http://dbpedia.org/resource/Bimodule +
, http://dbpedia.org/resource/Faithful_module +
, http://dbpedia.org/resource/Azumaya%27s_theorem +
, http://dbpedia.org/resource/Addison-Wesley +
, http://dbpedia.org/resource/Beauville%E2%80%93Laszlo_theorem +
, http://dbpedia.org/resource/Restriction_of_scalars +
, http://dbpedia.org/resource/Dualizing_module +
, http://dbpedia.org/resource/Endomorphism_ring +
, http://dbpedia.org/resource/Indecomposable_module +
, http://dbpedia.org/resource/Elementary_divisor +
, http://dbpedia.org/resource/Quillen%E2%80%93Suslin_theorem +
, http://dbpedia.org/resource/Shapiro%27s_lemma +
, http://dbpedia.org/resource/Enough_projectives +
, http://dbpedia.org/resource/Left_module +
, http://dbpedia.org/resource/Torsion-free_module +
, http://dbpedia.org/resource/Ideal_%28ring_theory%29 +
, http://dbpedia.org/resource/Smith_normal_form +
, http://dbpedia.org/resource/Sheaf_of_modules +
, http://dbpedia.org/resource/Zero_module_homomorphism +
, http://dbpedia.org/resource/Ring_%28mathematics%29 +
, http://dbpedia.org/resource/Support_of_a_module +
, http://dbpedia.org/resource/Krull%E2%80%93Schmidt_theorem +
, http://dbpedia.org/resource/Category:Glossaries_of_mathematics +
, http://dbpedia.org/resource/Tor_functor +
, http://dbpedia.org/resource/Invariant_%28mathematics%29 +
, http://dbpedia.org/resource/Surjective +
, http://dbpedia.org/resource/Category:Module_theory +
, http://dbpedia.org/resource/Module_theory +
|
| http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Term +
, http://dbpedia.org/resource/Template:Short_description +
, http://dbpedia.org/resource/Template:Cite_book +
, http://dbpedia.org/resource/Template:Glossary_end +
, http://dbpedia.org/resource/Template:Br +
, http://dbpedia.org/resource/Template:Defn +
, http://dbpedia.org/resource/Template:Glossary +
, http://dbpedia.org/resource/Template:Compact_ToC +
, http://dbpedia.org/resource/Template:Citation +
|
| http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Glossaries_of_mathematics +
, http://dbpedia.org/resource/Category:Module_theory +
|
| http://purl.org/linguistics/gold/hypernym
|
http://dbpedia.org/resource/Branch +
|
| http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Glossary_of_module_theory?oldid=1097595558&ns=0 +
|
| http://xmlns.com/foaf/0.1/depiction
|
http://commons.wikimedia.org/wiki/Special:FilePath/Projective_module.png +
, http://commons.wikimedia.org/wiki/Special:FilePath/Injective_module.svg +
|
| http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Glossary_of_module_theory +
|
| owl:sameAs |
http://www.wikidata.org/entity/Q5571840 +
, http://dbpedia.org/resource/Glossary_of_module_theory +
, https://global.dbpedia.org/id/4kY1g +
, http://yago-knowledge.org/resource/Glossary_of_module_theory +
|
| rdf:type |
http://dbpedia.org/class/yago/Book106410904 +
, http://dbpedia.org/class/yago/WikicatGlossariesOfMathematics +
, http://dbpedia.org/class/yago/Wordbook106418693 +
, http://dbpedia.org/class/yago/Creation103129123 +
, http://dbpedia.org/class/yago/Whole100003553 +
, http://dbpedia.org/class/yago/Object100002684 +
, http://dbpedia.org/class/yago/Glossary106420781 +
, http://dbpedia.org/class/yago/Product104007894 +
, http://dbpedia.org/ontology/Organisation +
, http://dbpedia.org/class/yago/Publication106589574 +
, http://dbpedia.org/class/yago/Work104599396 +
, http://dbpedia.org/class/yago/PhysicalEntity100001930 +
, http://dbpedia.org/class/yago/Artifact100021939 +
, http://dbpedia.org/class/yago/ReferenceBook106417598 +
|
| rdfs:comment |
Module theory is the branch of mathematics in which modules are studied. This is a glossary of some terms of the subject. See also: Glossary of linear algebra, Glossary of ring theory, Glossary of representation theory.
|
| rdfs:label |
Glossary of module theory
|
