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- Dense_submodule abstract "In abstract algebra, specifically in module theory, a dense submodule of a module is a refinement of the notion of an essential submodule. If N is a dense submodule of M, it may alternatively be said that "N ⊆ M is a rational extension". Dense submodules are connected with rings of quotients in noncommutative ring theory. Most of the results appearing here were first established in (Johnson 1951), (Utumi 1956) and (Findlay & Lambek 1958).It should be noticed that this terminology is different from the notion of a dense subset in general topology. No topology is needed to define a dense submodule, and a dense submodule may or may not be topologically dense in a module with topology.".
- Dense_submodule wikiPageID "32315625".
- Dense_submodule wikiPageLength "6659".
- Dense_submodule wikiPageOutDegree "22".
- Dense_submodule wikiPageRevisionID "649727695".
- Dense_submodule wikiPageWikiLink Abstract_algebra.
- Dense_submodule wikiPageWikiLink Annihilator_(ring_theory).
- Dense_submodule wikiPageWikiLink Canadian_Mathematical_Bulletin.
- Dense_submodule wikiPageWikiLink Category:Module_theory.
- Dense_submodule wikiPageWikiLink Category:Ring_theory.
- Dense_submodule wikiPageWikiLink Center_(algebra).
- Dense_submodule wikiPageWikiLink Dense_set.
- Dense_submodule wikiPageWikiLink Dense_subset.
- Dense_submodule wikiPageWikiLink Endomorphism_ring.
- Dense_submodule wikiPageWikiLink Equivalence_class.
- Dense_submodule wikiPageWikiLink Essential_extension.
- Dense_submodule wikiPageWikiLink Essential_submodule.
- Dense_submodule wikiPageWikiLink Exposition_(literary_technique).
- Dense_submodule wikiPageWikiLink Exposition_(narrative).
- Dense_submodule wikiPageWikiLink Faithful_module.
- Dense_submodule wikiPageWikiLink General_topology.
- Dense_submodule wikiPageWikiLink Homological_algebra.
- Dense_submodule wikiPageWikiLink Ideal_(ring_theory).
- Dense_submodule wikiPageWikiLink Injective_hull.
- Dense_submodule wikiPageWikiLink Inverse_element.
- Dense_submodule wikiPageWikiLink Invertible.
- Dense_submodule wikiPageWikiLink Module_(mathematics).
- Dense_submodule wikiPageWikiLink Module_theory.
- Dense_submodule wikiPageWikiLink Nonsingular_module.
- Dense_submodule wikiPageWikiLink Nonsingular_ring.
- Dense_submodule wikiPageWikiLink Singular_submodule.
- Dense_submodule wikiPageWikiLink Springer-Verlag.
- Dense_submodule wikiPageWikiLink Springer_Science+Business_Media.
- Dense_submodule wikiPageWikiLinkText "Dense submodule".
- Dense_submodule wikiPageWikiLinkText "dense submodule".
- Dense_submodule wikiPageWikiLinkText "dense".
- Dense_submodule hasPhotoCollection Dense_submodule.
- Dense_submodule wikiPageUsesTemplate Template:Citation.
- Dense_submodule wikiPageUsesTemplate Template:Harv.
- Dense_submodule wikiPageUsesTemplate Template:Main.
- Dense_submodule wikiPageUsesTemplate Template:Reflist.
- Dense_submodule subject Category:Module_theory.
- Dense_submodule subject Category:Ring_theory.
- Dense_submodule hypernym Refinement.
- Dense_submodule comment "In abstract algebra, specifically in module theory, a dense submodule of a module is a refinement of the notion of an essential submodule. If N is a dense submodule of M, it may alternatively be said that "N ⊆ M is a rational extension". Dense submodules are connected with rings of quotients in noncommutative ring theory.".
- Dense_submodule label "Dense submodule".
- Dense_submodule sameAs 稠密部分加群.
- Dense_submodule sameAs m.0gys538.
- Dense_submodule sameAs Q5259310.
- Dense_submodule sameAs Q5259310.
- Dense_submodule wasDerivedFrom Dense_submodule?oldid=649727695.
- Dense_submodule isPrimaryTopicOf Dense_submodule.