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- Invariant_basis_number abstract "In mathematics, more specifically in the field of ring theory, a ring has the invariant basis number (IBN) property if all finitely generated free left modules over R have a well-defined rank. In the case of fields, the IBN property becomes the statement that finite-dimensional vector spaces have a unique dimension.".
- Invariant_basis_number wikiPageID "3327998".
- Invariant_basis_number wikiPageLength "6187".
- Invariant_basis_number wikiPageOutDegree "33".
- Invariant_basis_number wikiPageRevisionID "665475648".
- Invariant_basis_number wikiPageWikiLink Axiom_of_choice.
- Invariant_basis_number wikiPageWikiLink Basis_(linear_algebra).
- Invariant_basis_number wikiPageWikiLink Boolean_prime_ideal_theorem.
- Invariant_basis_number wikiPageWikiLink Cardinality.
- Invariant_basis_number wikiPageWikiLink Category:Commutative_algebra.
- Invariant_basis_number wikiPageWikiLink Category:Homological_algebra.
- Invariant_basis_number wikiPageWikiLink Category:Module_theory.
- Invariant_basis_number wikiPageWikiLink Category:Ring_theory.
- Invariant_basis_number wikiPageWikiLink Commutative_ring.
- Invariant_basis_number wikiPageWikiLink Dimension_(vector_space).
- Invariant_basis_number wikiPageWikiLink Dimension_theorem_for_vector_spaces.
- Invariant_basis_number wikiPageWikiLink Division_ring.
- Invariant_basis_number wikiPageWikiLink Field_(mathematics).
- Invariant_basis_number wikiPageWikiLink Field_of_fractions.
- Invariant_basis_number wikiPageWikiLink Finitely_generated_module.
- Invariant_basis_number wikiPageWikiLink Free_module.
- Invariant_basis_number wikiPageWikiLink Hamel_dimension.
- Invariant_basis_number wikiPageWikiLink If_and_only_if.
- Invariant_basis_number wikiPageWikiLink Iff.
- Invariant_basis_number wikiPageWikiLink Isomorphic.
- Invariant_basis_number wikiPageWikiLink Isomorphism.
- Invariant_basis_number wikiPageWikiLink Krulls_theorem.
- Invariant_basis_number wikiPageWikiLink Leavitt_algebras.
- Invariant_basis_number wikiPageWikiLink Left-Noetherian_ring.
- Invariant_basis_number wikiPageWikiLink Mathematics.
- Invariant_basis_number wikiPageWikiLink Matrix_(mathematics).
- Invariant_basis_number wikiPageWikiLink Module_(mathematics).
- Invariant_basis_number wikiPageWikiLink Noetherian_ring.
- Invariant_basis_number wikiPageWikiLink Ore_condition.
- Invariant_basis_number wikiPageWikiLink Ring_(mathematics).
- Invariant_basis_number wikiPageWikiLink Ring_theory.
- Invariant_basis_number wikiPageWikiLink Semi-local_ring.
- Invariant_basis_number wikiPageWikiLink Semilocal_ring.
- Invariant_basis_number wikiPageWikiLink Stably_finite_ring.
- Invariant_basis_number wikiPageWikiLink Ultrafilter_lemma.
- Invariant_basis_number wikiPageWikiLink Vector_space.
- Invariant_basis_number wikiPageWikiLinkText "IBN".
- Invariant_basis_number wikiPageWikiLinkText "Invariant basis number".
- Invariant_basis_number wikiPageWikiLinkText "invariant basis number".
- Invariant_basis_number wikiPageWikiLinkText "rank".
- Invariant_basis_number hasPhotoCollection Invariant_basis_number.
- Invariant_basis_number title "Proof".
- Invariant_basis_number toggle "left".
- Invariant_basis_number wikiPageUsesTemplate Template:Citation.
- Invariant_basis_number wikiPageUsesTemplate Template:Harv.
- Invariant_basis_number wikiPageUsesTemplate Template:Hidden_begin.
- Invariant_basis_number wikiPageUsesTemplate Template:Hidden_end.
- Invariant_basis_number subject Category:Commutative_algebra.
- Invariant_basis_number subject Category:Homological_algebra.
- Invariant_basis_number subject Category:Module_theory.
- Invariant_basis_number subject Category:Ring_theory.
- Invariant_basis_number type Article.
- Invariant_basis_number type Article.
- Invariant_basis_number comment "In mathematics, more specifically in the field of ring theory, a ring has the invariant basis number (IBN) property if all finitely generated free left modules over R have a well-defined rank. In the case of fields, the IBN property becomes the statement that finite-dimensional vector spaces have a unique dimension.".
- Invariant_basis_number label "Invariant basis number".
- Invariant_basis_number sameAs חוג_בעל_מספר_בסיס_קבוע.
- Invariant_basis_number sameAs Invariant_basis_number.
- Invariant_basis_number sameAs m.0961kp.
- Invariant_basis_number sameAs Q6059504.
- Invariant_basis_number sameAs Q6059504.
- Invariant_basis_number wasDerivedFrom Invariant_basis_number?oldid=665475648.
- Invariant_basis_number isPrimaryTopicOf Invariant_basis_number.