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- Hensels_lemma abstract "In mathematics, Hensel's lemma, also known as Hensel's lifting lemma, named after Kurt Hensel, is a result in modular arithmetic, stating that if a polynomial equation has a simple root modulo a prime number p, then this root corresponds to a unique root of the same equation modulo any higher power of p, which can be found by iteratively "lifting" the solution modulo successive powers of p. More generally it is used as a generic name for analogues for complete commutative rings (including p-adic fields in particular) of the Newton method for solving equations. Since p-adic analysis is in some ways simpler than real analysis, there are relatively neat criteria guaranteeing a root of a polynomial.".
- Hensels_lemma wikiPageID "1633368".
- Hensels_lemma wikiPageLength "20150".
- Hensels_lemma wikiPageOutDegree "37".
- Hensels_lemma wikiPageRevisionID "673084009".
- Hensels_lemma wikiPageWikiLink Algebraic_equation.
- Hensels_lemma wikiPageWikiLink Category:Commutative_algebra.
- Hensels_lemma wikiPageWikiLink Category:Lemmas.
- Hensels_lemma wikiPageWikiLink Category:Modular_arithmetic.
- Hensels_lemma wikiPageWikiLink Category_theory.
- Hensels_lemma wikiPageWikiLink Commutative_ring.
- Hensels_lemma wikiPageWikiLink Completion_(algebra).
- Hensels_lemma wikiPageWikiLink Completion_(ring_theory).
- Hensels_lemma wikiPageWikiLink Goro_Azumaya.
- Hensels_lemma wikiPageWikiLink Hasse–Minkowski_theorem.
- Hensels_lemma wikiPageWikiLink Henselian_ring.
- Hensels_lemma wikiPageWikiLink Henselization.
- Hensels_lemma wikiPageWikiLink Ideal_(ring_theory).
- Hensels_lemma wikiPageWikiLink Integer.
- Hensels_lemma wikiPageWikiLink Jacobian_matrix.
- Hensels_lemma wikiPageWikiLink Jacobian_matrix_and_determinant.
- Hensels_lemma wikiPageWikiLink Kurt_Hensel.
- Hensels_lemma wikiPageWikiLink Lift_(mathematics).
- Hensels_lemma wikiPageWikiLink Local_ring.
- Hensels_lemma wikiPageWikiLink Masayoshi_Nagata.
- Hensels_lemma wikiPageWikiLink Mathematics.
- Hensels_lemma wikiPageWikiLink Modular_arithmetic.
- Hensels_lemma wikiPageWikiLink Multiplicity_(mathematics).
- Hensels_lemma wikiPageWikiLink Newton_method.
- Hensels_lemma wikiPageWikiLink Newton_polygon.
- Hensels_lemma wikiPageWikiLink Newtons_method.
- Hensels_lemma wikiPageWikiLink Noetherian_ring.
- Hensels_lemma wikiPageWikiLink P-adic_analysis.
- Hensels_lemma wikiPageWikiLink P-adic_field.
- Hensels_lemma wikiPageWikiLink P-adic_number.
- Hensels_lemma wikiPageWikiLink Polynomial.
- Hensels_lemma wikiPageWikiLink Polynomial_equation.
- Hensels_lemma wikiPageWikiLink Prime_number.
- Hensels_lemma wikiPageWikiLink Princeton_University_Press.
- Hensels_lemma wikiPageWikiLink Quadratic_reciprocity.
- Hensels_lemma wikiPageWikiLink Quadratic_reciprocity_law.
- Hensels_lemma wikiPageWikiLink Quadratic_residue.
- Hensels_lemma wikiPageWikiLink Real_analysis.
- Hensels_lemma wikiPageWikiLink Springer-Verlag.
- Hensels_lemma wikiPageWikiLink Springer_Science+Business_Media.
- Hensels_lemma wikiPageWikiLink Étale_topology.
- Hensels_lemma wikiPageWikiLinkText "Hensel lifting".
- Hensels_lemma wikiPageWikiLinkText "Hensel's lemma".
- Hensels_lemma wikiPageWikiLinkText "Henselian".
- Hensels_lemma wikiPageWikiLinkText "henselization".
- Hensels_lemma hasPhotoCollection Hensels_lemma.
- Hensels_lemma wikiPageUsesTemplate Template:Citation.
- Hensels_lemma wikiPageUsesTemplate Template:Math.
- Hensels_lemma subject Category:Commutative_algebra.
- Hensels_lemma subject Category:Lemmas.
- Hensels_lemma subject Category:Modular_arithmetic.
- Hensels_lemma hypernym Result.
- Hensels_lemma comment "In mathematics, Hensel's lemma, also known as Hensel's lifting lemma, named after Kurt Hensel, is a result in modular arithmetic, stating that if a polynomial equation has a simple root modulo a prime number p, then this root corresponds to a unique root of the same equation modulo any higher power of p, which can be found by iteratively "lifting" the solution modulo successive powers of p.".
- Hensels_lemma label "Hensel's lemma".
- Hensels_lemma sameAs Henselsches_Lemma.
- Hensels_lemma sameAs Lemme_de_Hensel.
- Hensels_lemma sameAs למת_הנזל.
- Hensels_lemma sameAs Lemat_Hensela.
- Hensels_lemma sameAs m.05j8sb.
- Hensels_lemma sameAs Q1424496.
- Hensels_lemma sameAs Q1424496.
- Hensels_lemma sameAs 亨泽尔引理.
- Hensels_lemma wasDerivedFrom Hensels_lemmaoldid=673084009.
- Hensels_lemma isPrimaryTopicOf Hensels_lemma.