Gauss's lemma

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo polynomials
prime numbers
gptkbp:field gptkb:algebra
number theory
https://www.w3.org/2000/01/rdf-schema#label Gauss's lemma
gptkbp:namedAfter gptkb:Carl_Friedrich_Gauss
gptkbp:publishedIn gptkb:Disquisitiones_Arithmeticae
gptkbp:relatedTo irreducibility
unique factorization domain
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
gptkb:Louis_Gauß
gptkbp:bfsLayer 6