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- Canonical_map abstract "In mathematics, a canonical map, also called a natural map, is a map or morphism between objects that arises naturally from the definition or the construction of the objects.A closely related notion is a structure map or structure morphism; the map that comes with the given structure on the object. They are also sometimes called canonical maps.Examples:If N is a normal subgroup of a group G, then there is a canonical map from G to the quotient group G/N that sends an element g to the coset that g belongs to.If V is a vector space, then there is a canonical map from V to the second dual space of V that sends a vector v to the linear functional fv defined by fv(λ) = λ(v).If f is a ring homomorphism from a commutative ring R to commutative ring S, then S can be viewed as an algebra over R. The ring homomorphism f is then called the structure map (for the algebra structure). The corresponding map on the prime spectra: Spec(S) →Spec(R) is also called the structure map.If E is a vector bundle over a topological space X, then the projection map from E to X is the structure map.".
- Canonical_map wikiPageID "23335649".
- Canonical_map wikiPageLength "1623".
- Canonical_map wikiPageOutDegree "11".
- Canonical_map wikiPageRevisionID "664980487".
- Canonical_map wikiPageWikiLink Algebra_over_a_field.
- Canonical_map wikiPageWikiLink Algebra_over_a_ring.
- Canonical_map wikiPageWikiLink Canonical_bundle.
- Canonical_map wikiPageWikiLink Category:Mathematical_terminology.
- Canonical_map wikiPageWikiLink Dual_space.
- Canonical_map wikiPageWikiLink Natural_transformation.
- Canonical_map wikiPageWikiLink Normal_subgroup.
- Canonical_map wikiPageWikiLink Prime_spectrum.
- Canonical_map wikiPageWikiLink Quotient_group.
- Canonical_map wikiPageWikiLink Ring_homomorphism.
- Canonical_map wikiPageWikiLink Spectrum_of_a_ring.
- Canonical_map wikiPageWikiLink Vector_bundle.
- Canonical_map wikiPageWikiLink Vector_space.
- Canonical_map wikiPageWikiLinkText "Canonical map".
- Canonical_map wikiPageWikiLinkText "canonical map".
- Canonical_map hasPhotoCollection Canonical_map.
- Canonical_map wikiPageUsesTemplate Template:Dablink.
- Canonical_map wikiPageUsesTemplate Template:Math-stub.
- Canonical_map wikiPageUsesTemplate Template:Unreferenced.
- Canonical_map subject Category:Mathematical_terminology.
- Canonical_map hypernym Map.
- Canonical_map type Software.
- Canonical_map comment "In mathematics, a canonical map, also called a natural map, is a map or morphism between objects that arises naturally from the definition or the construction of the objects.A closely related notion is a structure map or structure morphism; the map that comes with the given structure on the object.".
- Canonical_map label "Canonical map".
- Canonical_map sameAs m.012pp1tk.
- Canonical_map sameAs Q19596244.
- Canonical_map sameAs Q19596244.
- Canonical_map wasDerivedFrom Canonical_map?oldid=664980487.
- Canonical_map isPrimaryTopicOf Canonical_map.