Gauss's lemma

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo polynomials
prime numbers
gptkbp:field gptkb:algebra
number theory
gptkbp:namedAfter gptkb:Carl_Friedrich_Gauss
gptkbp:publishedIn gptkb:Disquisitiones_Arithmeticae
gptkbp:relatedTo gptkb:unique_factorization_domain
irreducibility
primitive polynomial
gptkbp:sentence If a polynomial with integer coefficients is reducible over the rationals, then it is reducible over the integers.
If p is a prime and p divides the product ab, and p does not divide a, then p divides b.
gptkbp:bfsParent gptkb:Louis_Gauss
gptkbp:bfsLayer 6
https://www.w3.org/2000/01/rdf-schema#label Gauss's lemma