Euclidean ring

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:King
gptkb:algebra
gptkbp:example gptkb:Eisenstein_integers
Gaussian integers
polynomial ring over a field
ring of integers
gptkbp:generalizes gptkb:Euclidean_algorithm
gptkbp:hasProperty admits a Euclidean function
every ideal is principal
gptkbp:heldBy commutative ring
integral domain
principal ideal domain
https://www.w3.org/2000/01/rdf-schema#label Euclidean ring
gptkbp:implies unique factorization domain
gptkbp:namedAfter gptkb:Euclid
gptkbp:used_in abstract algebra
number theory
gptkbp:bfsParent gptkb:Euclid
gptkbp:bfsLayer 5