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- Artin_approximation_theorem abstract "In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin (1969) in deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k.More precisely, Artin proved two such theorems: one, in 1968, on approximation of complex analytic solutions by formal solutions (in the case k = C); and an algebraic version of this theorem in 1969.".
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- Artin_approximation_theorem wikiPageWikiLink Algebraic_equation.
- Artin_approximation_theorem wikiPageWikiLink Algebraic_function.
- Artin_approximation_theorem wikiPageWikiLink Category:Commutative_algebra.
- Artin_approximation_theorem wikiPageWikiLink Category:Moduli_theory.
- Artin_approximation_theorem wikiPageWikiLink Category:Theorems_in_abstract_algebra.
- Artin_approximation_theorem wikiPageWikiLink Deformation_theory.
- Artin_approximation_theorem wikiPageWikiLink Field_(mathematics).
- Artin_approximation_theorem wikiPageWikiLink Formal_moduli.
- Artin_approximation_theorem wikiPageWikiLink Formal_moduli_space.
- Artin_approximation_theorem wikiPageWikiLink Formal_power_series.
- Artin_approximation_theorem wikiPageWikiLink Indeterminate_(variable).
- Artin_approximation_theorem wikiPageWikiLink Integer.
- Artin_approximation_theorem wikiPageWikiLink Mathematics.
- Artin_approximation_theorem wikiPageWikiLink Polynomial_equation.
- Artin_approximation_theorem wikiPageWikiLink Publications_Mathxc3xa9matiques_de_lIHxc3x89S.
- Artin_approximation_theorem wikiPageWikiLink Ring_(mathematics).
- Artin_approximation_theorem wikiPageWikiLink Scheme_(mathematics).
- Artin_approximation_theorem wikiPageWikiLink X.
- Artin_approximation_theorem wikiPageWikiLinkText "Artin approximation theorem".
- Artin_approximation_theorem authorlink "Michael Artin".
- Artin_approximation_theorem first "Michael".
- Artin_approximation_theorem hasPhotoCollection Artin_approximation_theorem.
- Artin_approximation_theorem last "Artin".
- Artin_approximation_theorem wikiPageUsesTemplate Template:Citation.
- Artin_approximation_theorem wikiPageUsesTemplate Template:Harvs.
- Artin_approximation_theorem year "1969".
- Artin_approximation_theorem subject Category:Commutative_algebra.
- Artin_approximation_theorem subject Category:Moduli_theory.
- Artin_approximation_theorem subject Category:Theorems_in_abstract_algebra.
- Artin_approximation_theorem hypernym Result.
- Artin_approximation_theorem type Theorem.
- Artin_approximation_theorem comment "In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin (1969) in deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k.More precisely, Artin proved two such theorems: one, in 1968, on approximation of complex analytic solutions by formal solutions (in the case k = C); and an algebraic version of this theorem in 1969.".
- Artin_approximation_theorem label "Artin approximation theorem".
- Artin_approximation_theorem sameAs m.078hwc.
- Artin_approximation_theorem sameAs Q4801169.
- Artin_approximation_theorem sameAs Q4801169.
- Artin_approximation_theorem wasDerivedFrom Artin_approximation_theorem?oldid=589658760.
- Artin_approximation_theorem isPrimaryTopicOf Artin_approximation_theorem.