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- Forgetful_functor abstract "In mathematics, in the area of category theory, a forgetful functor (also known as a stripping functor) 'forgets' or drops some or all of the input's structure or properties 'before' mapping to the output. For an algebraic structure of a given signature, this may be expressed by curtailing the signature: the new signature is an edited form of the old one. If the signature is left as an empty list, the functor is simply to take the underlying set of a structure. Because many structures in mathematics consist of a set with an additional added structure, a forgetful functor that maps to the underlying set is the most common case.".
- Forgetful_functor wikiPageID "844783".
- Forgetful_functor wikiPageLength "7341".
- Forgetful_functor wikiPageOutDegree "35".
- Forgetful_functor wikiPageRevisionID "650709502".
- Forgetful_functor wikiPageWikiLink Abelian_group.
- Forgetful_functor wikiPageWikiLink Adjoint_functors.
- Forgetful_functor wikiPageWikiLink Algebra_over_a_field.
- Forgetful_functor wikiPageWikiLink Algebraic_structure.
- Forgetful_functor wikiPageWikiLink Basis_(linear_algebra).
- Forgetful_functor wikiPageWikiLink Category:Functors.
- Forgetful_functor wikiPageWikiLink Category_of_rings.
- Forgetful_functor wikiPageWikiLink Category_of_sets.
- Forgetful_functor wikiPageWikiLink Category_theory.
- Forgetful_functor wikiPageWikiLink Concrete_category.
- Forgetful_functor wikiPageWikiLink Empty_list.
- Forgetful_functor wikiPageWikiLink Fibred_category.
- Forgetful_functor wikiPageWikiLink Free_category.
- Forgetful_functor wikiPageWikiLink Free_group.
- Forgetful_functor wikiPageWikiLink Free_lattice.
- Forgetful_functor wikiPageWikiLink Free_module.
- Forgetful_functor wikiPageWikiLink Free_object.
- Forgetful_functor wikiPageWikiLink Full_and_faithful_functors.
- Forgetful_functor wikiPageWikiLink Function_(mathematics).
- Forgetful_functor wikiPageWikiLink Functor.
- Forgetful_functor wikiPageWikiLink Group_(mathematics).
- Forgetful_functor wikiPageWikiLink Mathematics.
- Forgetful_functor wikiPageWikiLink Module_(mathematics).
- Forgetful_functor wikiPageWikiLink Morphism.
- Forgetful_functor wikiPageWikiLink Quiver_(mathematics).
- Forgetful_functor wikiPageWikiLink Ring_(mathematics).
- Forgetful_functor wikiPageWikiLink Saunders_Mac_Lane.
- Forgetful_functor wikiPageWikiLink Set_(mathematics).
- Forgetful_functor wikiPageWikiLink Signature_(logic).
- Forgetful_functor wikiPageWikiLink Structure_(mathematical_logic).
- Forgetful_functor wikiPageWikiLink Tensor_algebra.
- Forgetful_functor wikiPageWikiLink Topological_space.
- Forgetful_functor wikiPageWikiLink Universal_algebra.
- Forgetful_functor wikiPageWikiLinkText "Forgetful functor".
- Forgetful_functor wikiPageWikiLinkText "forgetful functor".
- Forgetful_functor wikiPageWikiLinkText "forgets".
- Forgetful_functor wikiPageWikiLinkText "forgetting".
- Forgetful_functor wikiPageWikiLinkText "underlying set".
- Forgetful_functor id "forgetful+functor".
- Forgetful_functor title "Forgetful functor".
- Forgetful_functor wikiPageUsesTemplate Template:Functors.
- Forgetful_functor wikiPageUsesTemplate Template:Nlab.
- Forgetful_functor subject Category:Functors.
- Forgetful_functor type Function.
- Forgetful_functor type Functor.
- Forgetful_functor comment "In mathematics, in the area of category theory, a forgetful functor (also known as a stripping functor) 'forgets' or drops some or all of the input's structure or properties 'before' mapping to the output. For an algebraic structure of a given signature, this may be expressed by curtailing the signature: the new signature is an edited form of the old one. If the signature is left as an empty list, the functor is simply to take the underlying set of a structure.".
- Forgetful_functor label "Forgetful functor".
- Forgetful_functor sameAs Q2646117.
- Forgetful_functor sameAs Vergeetachtige_functor.
- Forgetful_functor sameAs m.03gfnl.
- Forgetful_functor sameAs Забывающий_функтор.
- Forgetful_functor sameAs Q2646117.
- Forgetful_functor wasDerivedFrom Forgetful_functor?oldid=650709502.
- Forgetful_functor isPrimaryTopicOf Forgetful_functor.