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- Algebraically_compact_module abstract "In mathematics, especially in the area of abstract algebra known as module theory, algebraically compact modules, also called pure-injective modules, are modules that have a certain "nice" property which allows the solution of infinite systems of equations in the module by finitary means. The solutions to these systems allow the extension of certain kinds of module homomorphisms. These algebraically compact modules are analogous to injective modules, where one can extend all module homomorphisms. All injective modules are algebraically compact, and the analogy between the two is made quite precise by a category embedding.".
- Algebraically_compact_module wikiPageID "478346".
- Algebraically_compact_module wikiPageLength "4859".
- Algebraically_compact_module wikiPageOutDegree "30".
- Algebraically_compact_module wikiPageRevisionID "632936958".
- Algebraically_compact_module wikiPageWikiLink Abelian_group.
- Algebraically_compact_module wikiPageWikiLink Abstract_algebra.
- Algebraically_compact_module wikiPageWikiLink Associative_algebra.
- Algebraically_compact_module wikiPageWikiLink Category:Module_theory.
- Algebraically_compact_module wikiPageWikiLink Dimension_(vector_space).
- Algebraically_compact_module wikiPageWikiLink Dimension_of_a_vector_space.
- Algebraically_compact_module wikiPageWikiLink Direct_sum_of_modules.
- Algebraically_compact_module wikiPageWikiLink Endomorphism_ring.
- Algebraically_compact_module wikiPageWikiLink Exact_sequence.
- Algebraically_compact_module wikiPageWikiLink Faithful_functor.
- Algebraically_compact_module wikiPageWikiLink Field_(mathematics).
- Algebraically_compact_module wikiPageWikiLink Full_and_faithful_functors.
- Algebraically_compact_module wikiPageWikiLink Functor.
- Algebraically_compact_module wikiPageWikiLink Grothendieck_category.
- Algebraically_compact_module wikiPageWikiLink Group_homomorphism.
- Algebraically_compact_module wikiPageWikiLink Indecomposable_module.
- Algebraically_compact_module wikiPageWikiLink Injective.
- Algebraically_compact_module wikiPageWikiLink Injective_cogenerator.
- Algebraically_compact_module wikiPageWikiLink Injective_function.
- Algebraically_compact_module wikiPageWikiLink Injective_module.
- Algebraically_compact_module wikiPageWikiLink List_of_mathematical_symbols.
- Algebraically_compact_module wikiPageWikiLink Local_ring.
- Algebraically_compact_module wikiPageWikiLink Mathematics.
- Algebraically_compact_module wikiPageWikiLink Module_(mathematics).
- Algebraically_compact_module wikiPageWikiLink Module_homomorphism.
- Algebraically_compact_module wikiPageWikiLink Module_theory.
- Algebraically_compact_module wikiPageWikiLink Natural_transformation.
- Algebraically_compact_module wikiPageWikiLink Product_(category_theory).
- Algebraically_compact_module wikiPageWikiLink Prüfer_group.
- Algebraically_compact_module wikiPageWikiLink Ring_(mathematics).
- Algebraically_compact_module wikiPageWikiLink Split_short_exact_sequence.
- Algebraically_compact_module wikiPageWikiLink Table_of_mathematical_symbols.
- Algebraically_compact_module wikiPageWikiLink Tensor_product.
- Algebraically_compact_module wikiPageWikiLink Vector_space.
- Algebraically_compact_module wikiPageWikiLinkText "Algebraically compact module".
- Algebraically_compact_module wikiPageWikiLinkText "algebraically compact module".
- Algebraically_compact_module wikiPageWikiLinkText "algebraically compact".
- Algebraically_compact_module hasPhotoCollection Algebraically_compact_module.
- Algebraically_compact_module subject Category:Module_theory.
- Algebraically_compact_module hypernym Modules.
- Algebraically_compact_module type InformationAppliance.
- Algebraically_compact_module comment "In mathematics, especially in the area of abstract algebra known as module theory, algebraically compact modules, also called pure-injective modules, are modules that have a certain "nice" property which allows the solution of infinite systems of equations in the module by finitary means. The solutions to these systems allow the extension of certain kinds of module homomorphisms.".
- Algebraically_compact_module label "Algebraically compact module".
- Algebraically_compact_module sameAs m.02fc27.
- Algebraically_compact_module sameAs Q4724027.
- Algebraically_compact_module sameAs Q4724027.
- Algebraically_compact_module wasDerivedFrom Algebraically_compact_module?oldid=632936958.
- Algebraically_compact_module isPrimaryTopicOf Algebraically_compact_module.