Dedekind domains

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
integral domain
gptkbp:characterizedBy integrally closed
Noetherian property
Krull dimension one
gptkbp:everyNonzeroIdeal factorizes uniquely into prime ideals
gptkbp:example polynomial ring in one variable over a field
ring of integers of a number field
gptkbp:generalizes principal ideal domains
gptkbp:hasSubgroup commutative rings
https://www.w3.org/2000/01/rdf-schema#label Dedekind domains
gptkbp:namedAfter gptkb:Richard_Dedekind
gptkbp:studiedIn gptkb:commutative_algebra
algebraic number theory
gptkbp:bfsParent gptkb:Algebraic_number_theory
gptkbp:bfsLayer 5