Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Gausss_lemma_(polynomial)> ?p ?o }
Showing triples 1 to 77 of
77
with 100 triples per page.
- Gausss_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). This statements have several generalizations described below.".
- Gausss_lemma_(polynomial) wikiPageID "2310971".
- Gausss_lemma_(polynomial) wikiPageLength "16296".
- Gausss_lemma_(polynomial) wikiPageOutDegree "44".
- Gausss_lemma_(polynomial) wikiPageRevisionID "675696123".
- Gausss_lemma_(polynomial) wikiPageWikiLink Algebra.
- Gausss_lemma_(polynomial) wikiPageWikiLink Algebraic_integer.
- Gausss_lemma_(polynomial) wikiPageWikiLink Associate_elements.
- Gausss_lemma_(polynomial) wikiPageWikiLink Axiom_of_choice.
- Gausss_lemma_(polynomial) wikiPageWikiLink Bézout_domain.
- Gausss_lemma_(polynomial) wikiPageWikiLink Carl_Friedrich_Gauss.
- Gausss_lemma_(polynomial) wikiPageWikiLink Category:Lemmas.
- Gausss_lemma_(polynomial) wikiPageWikiLink Category:Polynomials.
- Gausss_lemma_(polynomial) wikiPageWikiLink Closure_(mathematics).
- Gausss_lemma_(polynomial) wikiPageWikiLink Coefficient.
- Gausss_lemma_(polynomial) wikiPageWikiLink Commutative_ring.
- Gausss_lemma_(polynomial) wikiPageWikiLink Content_(algebra).
- Gausss_lemma_(polynomial) wikiPageWikiLink Dirichlet_integers.
- Gausss_lemma_(polynomial) wikiPageWikiLink Disquisitiones_Arithmeticae.
- Gausss_lemma_(polynomial) wikiPageWikiLink Eisensteins_criterion.
- Gausss_lemma_(polynomial) wikiPageWikiLink Euclids_lemma.
- Gausss_lemma_(polynomial) wikiPageWikiLink Factorization_of_polynomials.
- Gausss_lemma_(polynomial) wikiPageWikiLink Field_of_fractions.
- Gausss_lemma_(polynomial) wikiPageWikiLink GCD_domain.
- Gausss_lemma_(polynomial) wikiPageWikiLink Golden_ratio.
- Gausss_lemma_(polynomial) wikiPageWikiLink Greatest_common_divisor.
- Gausss_lemma_(polynomial) wikiPageWikiLink Integral_closure.
- Gausss_lemma_(polynomial) wikiPageWikiLink Integral_domain.
- Gausss_lemma_(polynomial) wikiPageWikiLink Integral_element.
- Gausss_lemma_(polynomial) wikiPageWikiLink Irreducible_element.
- Gausss_lemma_(polynomial) wikiPageWikiLink Irreducible_polynomial.
- Gausss_lemma_(polynomial) wikiPageWikiLink Krulls_theorem.
- Gausss_lemma_(polynomial) wikiPageWikiLink Leading_coefficient.
- Gausss_lemma_(polynomial) wikiPageWikiLink Maximal_ideal.
- Gausss_lemma_(polynomial) wikiPageWikiLink Minimal_polynomial_(field_theory).
- Gausss_lemma_(polynomial) wikiPageWikiLink Polynomial.
- Gausss_lemma_(polynomial) wikiPageWikiLink Polynomial_ring.
- Gausss_lemma_(polynomial) wikiPageWikiLink Prime_element.
- Gausss_lemma_(polynomial) wikiPageWikiLink Prime_ideal.
- Gausss_lemma_(polynomial) wikiPageWikiLink Prime_number.
- Gausss_lemma_(polynomial) wikiPageWikiLink Primitive_polynomial_(field_theory).
- Gausss_lemma_(polynomial) wikiPageWikiLink Principal_ideal.
- Gausss_lemma_(polynomial) wikiPageWikiLink Principal_ideal_domain.
- Gausss_lemma_(polynomial) wikiPageWikiLink Rational_number.
- Gausss_lemma_(polynomial) wikiPageWikiLink Ring_(mathematics).
- Gausss_lemma_(polynomial) wikiPageWikiLink Ring_homomorphism.
- Gausss_lemma_(polynomial) wikiPageWikiLink Unique_factorization_domain.
- Gausss_lemma_(polynomial) wikiPageWikiLink Zero_divisor.
- Gausss_lemma_(polynomial) wikiPageWikiLinkText "Gauss lemma".
- Gausss_lemma_(polynomial) wikiPageWikiLinkText "Gauss' lemma".
- Gausss_lemma_(polynomial) wikiPageWikiLinkText "Gauss's Lemma".
- Gausss_lemma_(polynomial) wikiPageWikiLinkText "Gauss's lemma (polynomial)".
- Gausss_lemma_(polynomial) wikiPageWikiLinkText "Gauss's lemma for polynomials".
- Gausss_lemma_(polynomial) wikiPageWikiLinkText "Gauss's lemma on primitive polynomials".
- Gausss_lemma_(polynomial) wikiPageWikiLinkText "Gauss's lemma".
- Gausss_lemma_(polynomial) hasPhotoCollection Gausss_lemma_(polynomial).
- Gausss_lemma_(polynomial) wikiPageUsesTemplate Template:=.
- Gausss_lemma_(polynomial) wikiPageUsesTemplate Template:About.
- Gausss_lemma_(polynomial) wikiPageUsesTemplate Template:Math.
- Gausss_lemma_(polynomial) wikiPageUsesTemplate Template:Refimprove.
- Gausss_lemma_(polynomial) wikiPageUsesTemplate Template:Reflist.
- Gausss_lemma_(polynomial) subject Category:Lemmas.
- Gausss_lemma_(polynomial) subject Category:Polynomials.
- Gausss_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).".
- Gausss_lemma_(polynomial) label "Gauss's lemma (polynomial)".
- Gausss_lemma_(polynomial) sameAs Lema_de_Gauss.
- Gausss_lemma_(polynomial) sameAs Lemme_de_Gauss_(polynômes).
- Gausss_lemma_(polynomial) sameAs הלמה_של_גאוס_(פולינומים).
- Gausss_lemma_(polynomial) sameAs Gauss-lemma.
- Gausss_lemma_(polynomial) sameAs Lemma_di_Gauss_(polinomi).
- Gausss_lemma_(polynomial) sameAs Twierdzenie_Gaussa_(algebra).
- Gausss_lemma_(polynomial) sameAs Lema_de_Gauss.
- Gausss_lemma_(polynomial) sameAs m.072wlr.
- Gausss_lemma_(polynomial) sameAs Q587938.
- Gausss_lemma_(polynomial) sameAs Q587938.
- Gausss_lemma_(polynomial) wasDerivedFrom Gausss_lemma_(polynomial)oldid=675696123.
- Gausss_lemma_(polynomial) isPrimaryTopicOf Gausss_lemma_(polynomial).