Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:alternativeName |
field_(mathematics)
field_extension |
| gptkbp:characteristic |
gptkb:Prime_Number
zero |
| gptkbp:generalizes |
gptkb:Field
complex numbers p-adic numbers rational numbers real numbers finite field algebraic closure number field |
| gptkbp:hasApplication |
gptkb:algebraic_geometry
gptkb:geometry gptkb:topology gptkb:quantum_computing algebraic number theory coding theory cryptography error-correcting codes group theory mathematical physics combinatorics linear algebra polynomial equations solving algebraic equations |
| gptkbp:hasDefinitionYear |
19th century
|
| gptkbp:hasProperty |
associativity of addition
commutativity of addition existence of additive identity associativity of multiplication commutativity of multiplication distributivity of multiplication over addition existence of additive inverses existence of multiplicative identity existence of multiplicative inverses (except for zero) |
| gptkbp:hasSubgroup |
gptkb:King
commutative ring |
| gptkbp:notablePerson |
gptkb:Évariste_Galois
gptkb:Emil_Artin gptkb:Ernst_Steinitz gptkb:Richard_Dedekind |
| gptkbp:operator |
addition
multiplication |
| gptkbp:studiedIn |
gptkb:algebraic_geometry
gptkb:Galois_theory abstract algebra number theory |
| gptkbp:bfsParent |
gptkb:King
gptkb:group_of_people |
| gptkbp:bfsLayer |
4
|