Prime ideal

URI: https://gptkb.org/entity/Prime_ideal
GPTKB entity
Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:category gptkb:Ideal_theory
gptkbp:definedIn gptkb:Ring_theory
gptkbp:field gptkb:Commutative_algebra
gptkb:Abstract_algebra
gptkbp:firstAppearance gptkb:19th_century
gptkbp:generalizes gptkb:Prime_number
gptkbp:hasSubgroup gptkb:Ideal
gptkbp:inRing gptkb:Commutative_ring
gptkbp:introduced gptkb:Richard_Dedekind
gptkbp:notableExample (0) in an integral domain
(p) in Z, where p is a prime number
gptkbp:property If ab ∈ P, then a ∈ P or b ∈ P
gptkbp:quotientRing gptkb:Integral_domain
gptkbp:relatedConcept gptkb:Primary_ideal
gptkb:Radical_ideal
gptkb:Maximal_ideal
gptkbp:symbol P
gptkbp:usedIn gptkb:Algebraic_geometry
gptkb:Algebraic_number_theory
gptkbp:bfsParent gptkb:Ideal
gptkbp:bfsLayer 6
https://www.w3.org/2000/01/rdf-schema#label Prime ideal