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- Gauss's_lemma_(polynomial) abstract "In algebra, in the theory of polynomials (a subfield of ring theory), Gauss's lemma is either of two related statements about polynomials with integer coefficients: The first result states that the product of two primitive polynomials is primitive (a polynomial with integer coefficients is called primitive if the greatest common divisor of its coefficients is 1). The second result states that if a non-constant polynomial with integer coefficients is irreducible over the integers, then it is also irreducible if it is considered as a polynomial over the rationals.This second statement is a consequence of the first (see proof below). The first statement and proof of the lemma is in Article 42 of Carl Friedrich Gauss's Disquisitiones Arithmeticae (1801).".
- Gauss's_lemma_(polynomial) wikiPageID "2310971".
- Gauss's_lemma_(polynomial) wikiPageRevisionID "579911374".
- Gauss's_lemma_(polynomial) hasPhotoCollection Gauss's_lemma_(polynomial).
- Gauss's_lemma_(polynomial) subject Category:Lemmas.
- Gauss's_lemma_(polynomial) subject Category:Polynomials.
- Gauss's_lemma_(polynomial) type Abstraction100002137.
- Gauss's_lemma_(polynomial) type Communication100033020.
- Gauss's_lemma_(polynomial) type Function113783816.
- Gauss's_lemma_(polynomial) type Lemma106751833.
- Gauss's_lemma_(polynomial) type Lemmas.
- Gauss's_lemma_(polynomial) type MathematicalRelation113783581.
- Gauss's_lemma_(polynomial) type Message106598915.
- Gauss's_lemma_(polynomial) type Polynomial105861855.
- Gauss's_lemma_(polynomial) type Polynomials.
- Gauss's_lemma_(polynomial) type Proposition106750804.
- Gauss's_lemma_(polynomial) type Relation100031921.
- Gauss's_lemma_(polynomial) type Statement106722453.
- Gauss's_lemma_(polynomial) comment "In algebra, in the theory of polynomials (a subfield of ring theory), Gauss's lemma is either of two related statements about polynomials with integer coefficients: The first result states that the product of two primitive polynomials is primitive (a polynomial with integer coefficients is called primitive if the greatest common divisor of its coefficients is 1).".
- Gauss's_lemma_(polynomial) label "Gauss's lemma (polynomial)".
- Gauss's_lemma_(polynomial) label "Lema de Gauss".
- Gauss's_lemma_(polynomial) label "Lema de Gauss".
- Gauss's_lemma_(polynomial) label "Lemma di Gauss (polinomi)".
- Gauss's_lemma_(polynomial) label "Lemme de Gauss (polynômes)".
- Gauss's_lemma_(polynomial) label "Twierdzenie Gaussa (algebra)".
- Gauss's_lemma_(polynomial) sameAs Lema_de_Gauss.
- Gauss's_lemma_(polynomial) sameAs Lemme_de_Gauss_(polynômes).
- Gauss's_lemma_(polynomial) sameAs Lemma_di_Gauss_(polinomi).
- Gauss's_lemma_(polynomial) sameAs Twierdzenie_Gaussa_(algebra).
- Gauss's_lemma_(polynomial) sameAs Lema_de_Gauss.
- Gauss's_lemma_(polynomial) sameAs m.072wlr.
- Gauss's_lemma_(polynomial) sameAs Q587938.
- Gauss's_lemma_(polynomial) sameAs Q587938.
- Gauss's_lemma_(polynomial) sameAs Gauss's_lemma_(polynomial).
- Gauss's_lemma_(polynomial) wasDerivedFrom Gauss's_lemma_(polynomial)?oldid=579911374.
- Gauss's_lemma_(polynomial) isPrimaryTopicOf Gauss's_lemma_(polynomial).