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- Hensel's_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.".
- Hensel's_lemma wikiPageID "1633368".
- Hensel's_lemma wikiPageRevisionID "600144623".
- Hensel's_lemma hasPhotoCollection Hensel's_lemma.
- Hensel's_lemma subject Category:Commutative_algebra.
- Hensel's_lemma subject Category:Lemmas.
- Hensel's_lemma subject Category:Modular_arithmetic.
- Hensel's_lemma type Abstraction100002137.
- Hensel's_lemma type Communication100033020.
- Hensel's_lemma type Lemma106751833.
- Hensel's_lemma type Lemmas.
- Hensel's_lemma type Message106598915.
- Hensel's_lemma type Proposition106750804.
- Hensel's_lemma type Statement106722453.
- Hensel's_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.".
- Hensel's_lemma label "Hensel's lemma".
- Hensel's_lemma label "Henselsches Lemma".
- Hensel's_lemma label "Lemme de Hensel".
- Hensel's_lemma label "亨泽尔引理".
- Hensel's_lemma sameAs Henselsches_Lemma.
- Hensel's_lemma sameAs Lemme_de_Hensel.
- Hensel's_lemma sameAs m.05j8sb.
- Hensel's_lemma sameAs Q1424496.
- Hensel's_lemma sameAs Q1424496.
- Hensel's_lemma sameAs Hensel's_lemma.
- Hensel's_lemma wasDerivedFrom Hensel's_lemma?oldid=600144623.
- Hensel's_lemma isPrimaryTopicOf Hensel's_lemma.